13309287552000 has 1980 divisors, whose sum is σ = 55054212801588. Its totient is φ = 3195168768000.

The previous prime is 13309287551983. The next prime is 13309287552017. The reversal of 13309287552000 is 25578290331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13309287552000 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 92 + 8 + 7 + 552 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13309287551983) and next prime (13309287552017).

It can be written as a sum of positive squares in 2 ways, for example, as 425897201664 + 12883390350336 = 652608^2 + 3589344^2 .

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 129216383949 + ... + 129216384051.

Almost surely, 2^{13309287552000} is an apocalyptic number.

13309287552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13309287552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527106400794).

13309287552000 is an abundant number, since it is smaller than the sum of its proper divisors (41744925249588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13309287552000 is an equidigital number, since it uses as much as digits as its factorization.

13309287552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Multiplying 13309287552000 by its sum of digits (45), we get a square (598917939840000 = 24472800²).

13309287552000 divided by its sum of digits (45) gives a square (295761945600 = 543840²).

The spelling of 13309287552000 in words is "thirteen trillion, three hundred nine billion, two hundred eighty-seven million, five hundred fifty-two thousand".