157982664960 has 216 divisors, whose sum is σ = 570369893184. Its totient is φ = 40296960000.

The previous prime is 157982664913. The next prime is 157982664967. The reversal of 157982664960 is 69466289751.

157982664960 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 82 + 66 + 496 + 0 = 666.

It is a super-2 number, since 2×157982664960² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157982664967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33166 + ... + 563085.

Almost surely, 2^157982664960 is an apocalyptic number.

157982664960 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 157982664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285184946592).

157982664960 is an abundant number, since it is smaller than the sum of its proper divisors (412387228224).

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

157982664960 is a wasteful number, since it uses less digits than its factorization.

157982664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596301 (or 596284 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 157982664960 in words is "one hundred fifty-seven billion, nine hundred eighty-two million, six hundred sixty-four thousand, nine hundred sixty".