157475451324400 has 120 divisors (see below), whose sum is σ = 416815267325328. Its totient is φ = 56696832000000.

The previous prime is 157475451324391. The next prime is 157475451324479. The reversal of 157475451324400 is 4423154574751.

157475451324400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×157475451324400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176733201 + ... + 177622000.

Almost surely, 2^{157475451324400} is an apocalyptic number.

157475451324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157475451324400 is an abundant number, since it is smaller than the sum of its proper divisors (259339816000928).

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

157475451324400 is a wasteful number, since it uses less digits than its factorization.

157475451324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354355331 (or 354355320 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 52.

The spelling of 157475451324400 in words is "one hundred fifty-seven trillion, four hundred seventy-five billion, four hundred fifty-one million, three hundred twenty-four thousand, four hundred".