157908864960 has 1568 divisors, whose sum is σ = 719596224000. Its totient is φ = 32039608320.

The previous prime is 157908864931. The next prime is 157908865003. The reversal of 157908864960 is 69468809751.

157908864960 is a `hidden beast` number, since 1 + 57 + 90 + 8 + 8 + 6 + 496 + 0 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1059790966 + ... + 1059791114.

Almost surely, 2^157908864960 is an apocalyptic number.

157908864960 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 157908864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359798112000).

157908864960 is an abundant number, since it is smaller than the sum of its proper divisors (561687359040).

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

157908864960 is a wasteful number, since it uses less digits than its factorization.

157908864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 157908864960 in words is "one hundred fifty-seven billion, nine hundred eight million, eight hundred sixty-four thousand, nine hundred sixty".