157596296256 has 567 divisors, whose sum is σ = 562244812389. Its totient is φ = 42073952256.

The previous prime is 157596296251. The next prime is 157596296279. The reversal of 157596296256 is 652692695751.

The square root of 157596296256 is 396984.

It is a perfect power (a square), and thus also a powerful number.

157596296256 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 96 + 296 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122696078400 + 34900217856 = 350280^2 + 186816^2 .

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

Its product of digits (61236000) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 157596296193 and 157596296202.

It is not an unprimeable number, because it can be changed into a prime (157596296251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1133786235 + ... + 1133786373.

Almost surely, 2^157596296256 is an apocalyptic number.

157596296256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157596296256 is the 396984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157596296256

157596296256 is an abundant number, since it is smaller than the sum of its proper divisors (404648516133).

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

157596296256 is a wasteful number, since it uses less digits than its factorization.

157596296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 168 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 157596296256 in words is "one hundred fifty-seven billion, five hundred ninety-six million, two hundred ninety-six thousand, two hundred fifty-six".