8157697913520 has 200 divisors, whose sum is σ = 28334933907984. Its totient is φ = 2175229444608.

The previous prime is 8157697913461. The next prime is 8157697913557. The reversal of 8157697913520 is 253197967518.

8157697913520 is a `hidden beast` number, since 8 + 1 + 5 + 7 + 6 + 97 + 9 + 13 + 520 = 666.

It is a super-2 number, since 2×8157697913520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110881387 + ... + 110954933.

Almost surely, 2^{8157697913520} is an apocalyptic number.

8157697913520 is a gapful number since it is divisible by the number (80) 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 8157697913520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167466953992).

8157697913520 is an abundant number, since it is smaller than the sum of its proper divisors (20177235994464).

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

8157697913520 is a wasteful number, since it uses less digits than its factorization.

8157697913520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90689 (or 90674 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 8157697913520 in words is "eight trillion, one hundred fifty-seven billion, six hundred ninety-seven million, nine hundred thirteen thousand, five hundred twenty".