157660176960 has 1344 divisors, whose sum is σ = 672925833216. Its totient is φ = 33354547200.

The previous prime is 157660176943. The next prime is 157660176967. The reversal of 157660176960 is 69671066751.

157660176960 is a `hidden beast` number, since 1 + 576 + 6 + 0 + 1 + 7 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157660176897 and 157660176906.

It is not an unprimeable number, because it can be changed into a prime (157660176967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 676653004 + ... + 676653236.

It is an arithmetic number, because the mean of its divisors is an integer number (500688864).

Almost surely, 2^157660176960 is an apocalyptic number.

157660176960 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 157660176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336462916608).

157660176960 is an abundant number, since it is smaller than the sum of its proper divisors (515265656256).

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

157660176960 is a wasteful number, since it uses less digits than its factorization.

157660176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

It can be divided in two parts, 1576601 and 76960, that added together give a palindrome (1653561).

The spelling of 157660176960 in words is "one hundred fifty-seven billion, six hundred sixty million, one hundred seventy-six thousand, nine hundred sixty".