157655538432 has 324 divisors, whose sum is σ = 548368436616. Its totient is φ = 45043568640.

The previous prime is 157655538431. The next prime is 157655538527. The reversal of 157655538432 is 234835556751.

157655538432 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 5 + 553 + 84 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is not an unprimeable number, because it can be changed into a prime (157655538431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3022332 + ... + 3074052.

Almost surely, 2^157655538432 is an apocalyptic number.

157655538432 is a gapful number since it is divisible by the number (12) 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 157655538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274184218308).

157655538432 is an abundant number, since it is smaller than the sum of its proper divisors (390712898184).

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

157655538432 is an frugal number, since it uses more digits than its factorization.

157655538432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51766 (or 51733 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 157655538432 in words is "one hundred fifty-seven billion, six hundred fifty-five million, five hundred thirty-eight thousand, four hundred thirty-two".