13187007774720 has 1440 divisors, whose sum is σ = 51700433854608. Its totient is φ = 3196260974592.

The previous prime is 13187007774719. The next prime is 13187007774739. The reversal of 13187007774720 is 2747770078131.

13187007774720 is a `hidden beast` number, since 1 + 31 + 8 + 70 + 0 + 7 + 77 + 472 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6983799865344 + 6203207909376 = 2642688^2 + 2490624^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 66939125662 + ... + 66939125858.

Almost surely, 2^{13187007774720} is an apocalyptic number.

13187007774720 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 13187007774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850216927304).

13187007774720 is an abundant number, since it is smaller than the sum of its proper divisors (38513426079888).

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

13187007774720 is an frugal number, since it uses more digits than its factorization.

13187007774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 54.

The spelling of 13187007774720 in words is "thirteen trillion, one hundred eighty-seven billion, seven million, seven hundred seventy-four thousand, seven hundred twenty".