157507105268016 has 80 divisors (see below), whose sum is σ = 516689974963200. Its totient is φ = 45002030075712.

The previous prime is 157507105267991. The next prime is 157507105268039. The reversal of 157507105268016 is 610862501705751.

157507105268016 is a `hidden beast` number, since 1 + 5 + 7 + 507 + 1 + 0 + 52 + 6 + 80 + 1 + 6 = 666.

157507105268016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26042838456 + ... + 26042844503.

It is an arithmetic number, because the mean of its divisors is an integer number (6458624687040).

Almost surely, 2^{157507105268016} is an apocalyptic number.

157507105268016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157507105268016 is an abundant number, since it is smaller than the sum of its proper divisors (359182869695184).

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

157507105268016 is a wasteful number, since it uses less digits than its factorization.

157507105268016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52085682983 (or 52085682971 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 157507105268016 in words is "one hundred fifty-seven trillion, five hundred seven billion, one hundred five million, two hundred sixty-eight thousand, sixteen".