157260704400 has 90 divisors (see below), whose sum is σ = 545738340290. Its totient is φ = 41936186880.

The previous prime is 157260704399. The next prime is 157260704437. The reversal of 157260704400 is 4407062751.

157260704400 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 607 + 0 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1431562896 + 155829141504 = 37836^2 + 394752^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21838165 + ... + 21845364.

Almost surely, 2^157260704400 is an apocalyptic number.

157260704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157260704400 is an abundant number, since it is smaller than the sum of its proper divisors (388477635890).

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

157260704400 is a wasteful number, since it uses less digits than its factorization.

157260704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43683553 (or 43683539 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 157260704400 in words is "one hundred fifty-seven billion, two hundred sixty million, seven hundred four thousand, four hundred".