157698231890400 has 1152 divisors, whose sum is σ = 646672210329600. Its totient is φ = 36878059468800.

The previous prime is 157698231890383. The next prime is 157698231890411. The reversal of 157698231890400 is 4098132896751.

157698231890400 is a `hidden beast` number, since 1 + 5 + 7 + 69 + 82 + 3 + 1 + 8 + 90 + 400 = 666.

It is a super-2 number, since 2×157698231890400² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292345737 + ... + 292884663.

It is an arithmetic number, because the mean of its divisors is an integer number (561347404800).

It is a 1-persistent number, because it is pandigital, but 2⋅157698231890400 = 315396463780800 is not.

Almost surely, 2^{157698231890400} is an apocalyptic number.

157698231890400 is a gapful number since it is divisible by the number (10) 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 157698231890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323336105164800).

157698231890400 is an abundant number, since it is smaller than the sum of its proper divisors (488973978439200).

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

157698231890400 is a wasteful number, since it uses less digits than its factorization.

157698231890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539029 (or 539010 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 157698231890400 in words is "one hundred fifty-seven trillion, six hundred ninety-eight billion, two hundred thirty-one million, eight hundred ninety thousand, four hundred".