157213518565680 has 320 divisors, whose sum is σ = 547002475315200. Its totient is φ = 41499245445120.

The previous prime is 157213518565679. The next prime is 157213518565723. The reversal of 157213518565680 is 86565815312751.

It is a happy number.

157213518565680 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 1 + 3 + 5 + 1 + 8 + 565 + 68 + 0 = 666.

157213518565680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295336560 + ... + 295868400.

It is an arithmetic number, because the mean of its divisors is an integer number (1709382735360).

Almost surely, 2^{157213518565680} is an apocalyptic number.

157213518565680 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 157213518565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273501237657600).

157213518565680 is an abundant number, since it is smaller than the sum of its proper divisors (389788956749520).

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

157213518565680 is a wasteful number, since it uses less digits than its factorization.

157213518565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533249 (or 533237 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 157213518565680 in words is "one hundred fifty-seven trillion, two hundred thirteen billion, five hundred eighteen million, five hundred sixty-five thousand, six hundred eighty".