157453922304000 has 3072 divisors, whose sum is σ = 695443914547200. Its totient is φ = 34828517376000.

The previous prime is 157453922303971. The next prime is 157453922304043. The reversal of 157453922304000 is 403229354751.

It is a happy number.

157453922304000 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 5 + 3 + 9 + 2 + 230 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5079158783985 + ... + 5079158784015.

It is an arithmetic number, because the mean of its divisors is an integer number (226381482600).

Almost surely, 2^{157453922304000} is an apocalyptic number.

157453922304000 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 157453922304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347721957273600).

157453922304000 is an abundant number, since it is smaller than the sum of its proper divisors (537989992243200).

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

157453922304000 is an frugal number, since it uses more digits than its factorization.

157453922304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 157453922304000 in words is "one hundred fifty-seven trillion, four hundred fifty-three billion, nine hundred twenty-two million, three hundred four thousand".