13156392936960 has 5120 divisors, whose sum is σ = 64939843584000. Its totient is φ = 2528292372480.

The previous prime is 13156392936959. The next prime is 13156392936979. The reversal of 13156392936960 is 6963929365131.

It is a happy number.

13156392936960 is a `hidden beast` number, since 1 + 3 + 1 + 563 + 9 + 2 + 9 + 3 + 6 + 9 + 60 = 666.

It is a super-2 number, since 2×13156392936960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 424399772145 + ... + 424399772175.

It is an arithmetic number, because the mean of its divisors is an integer number (12683563200).

Almost surely, 2^{13156392936960} is an apocalyptic number.

13156392936960 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 13156392936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32469921792000).

13156392936960 is an abundant number, since it is smaller than the sum of its proper divisors (51783450647040).

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

13156392936960 is an frugal number, since it uses more digits than its factorization.

13156392936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 13156392936960 in words is "thirteen trillion, one hundred fifty-six billion, three hundred ninety-two million, nine hundred thirty-six thousand, nine hundred sixty".