156400056576000 has 1344 divisors, whose sum is σ = 619584396434640. Its totient is φ = 39252551270400.

The previous prime is 156400056575999. The next prime is 156400056576013. The reversal of 156400056576000 is 675650004651.

156400056576000 is a `hidden beast` number, since 15 + 6 + 4 + 0 + 0 + 0 + 565 + 76 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33234748416 + 156366821827584 = 182304^2 + 12504672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3172583352 + ... + 3172632648.

Almost surely, 2^{156400056576000} is an apocalyptic number.

156400056576000 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 156400056576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309792198217320).

156400056576000 is an abundant number, since it is smaller than the sum of its proper divisors (463184339858640).

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

156400056576000 is an frugal number, since it uses more digits than its factorization.

156400056576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49369 (or 49324 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 156400056576000 in words is "one hundred fifty-six trillion, four hundred billion, fifty-six million, five hundred seventy-six thousand".