156959051014920 has 768 divisors, whose sum is σ = 618291738086400. Its totient is φ = 31483312035840.

The previous prime is 156959051014841. The next prime is 156959051014967. The reversal of 156959051014920 is 29410150959651.

It is a super-2 number, since 2×156959051014920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15881716299 + ... + 15881726181.

It is an arithmetic number, because the mean of its divisors is an integer number (805067367300).

Almost surely, 2^{156959051014920} is an apocalyptic number.

156959051014920 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 156959051014920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309145869043200).

156959051014920 is an abundant number, since it is smaller than the sum of its proper divisors (461332687071480).

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

156959051014920 is a wasteful number, since it uses less digits than its factorization.

156959051014920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18418 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 57.

The spelling of 156959051014920 in words is "one hundred fifty-six trillion, nine hundred fifty-nine billion, fifty-one million, fourteen thousand, nine hundred twenty".