13147287552000 has 3584 divisors, whose sum is σ = 61145451020160. Its totient is φ = 2751882854400.

The previous prime is 13147287551987. The next prime is 13147287552103. The reversal of 13147287552000 is 25578274131.

13147287552000 is a `hidden beast` number, since 1 + 3 + 1 + 47 + 2 + 87 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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 223 ways as a sum of consecutive naturals, for example, 355332095982 + ... + 355332096018.

Almost surely, 2^{13147287552000} is an apocalyptic number.

13147287552000 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 13147287552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30572725510080).

13147287552000 is an abundant number, since it is smaller than the sum of its proper divisors (47998163468160).

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

13147287552000 is an frugal number, since it uses more digits than its factorization.

13147287552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 13147287552000 in words is "thirteen trillion, one hundred forty-seven billion, two hundred eighty-seven million, five hundred fifty-two thousand".