157971530059200 has 2520 divisors, whose sum is σ = 688911821102736. Its totient is φ = 35269845811200.

The previous prime is 157971530059177. The next prime is 157971530059219. The reversal of 157971530059200 is 2950035179751.

157971530059200 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 7 + 15 + 30 + 0 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 168592881132 + ... + 168592882068.

Almost surely, 2^{157971530059200} is an apocalyptic number.

157971530059200 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 157971530059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344455910551368).

157971530059200 is an abundant number, since it is smaller than the sum of its proper divisors (530940291043536).

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

157971530059200 is a wasteful number, since it uses less digits than its factorization.

157971530059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 157971530059200 in words is "one hundred fifty-seven trillion, nine hundred seventy-one billion, five hundred thirty million, fifty-nine thousand, two hundred".