157877125015104 has 504 divisors, whose sum is σ = 525576091360320. Its totient is φ = 45151143966720.

The previous prime is 157877125015091. The next prime is 157877125015111. The reversal of 157877125015104 is 401510521778751.

It is a happy number.

157877125015104 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 7 + 71 + 2 + 50 + 1 + 510 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348044254 + ... + 348497570.

It is an arithmetic number, because the mean of its divisors is an integer number (1042809705080).

Almost surely, 2^{157877125015104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157877125015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262788045680160).

157877125015104 is an abundant number, since it is smaller than the sum of its proper divisors (367698966345216).

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

157877125015104 is a wasteful number, since it uses less digits than its factorization.

157877125015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453639 (or 453615 counting only the distinct ones).

The product of its (nonzero) digits is 2744000, while the sum is 54.

The spelling of 157877125015104 in words is "one hundred fifty-seven trillion, eight hundred seventy-seven billion, one hundred twenty-five million, fifteen thousand, one hundred four".