157934992320 has 896 divisors, whose sum is σ = 652952801280. Its totient is φ = 35634733056.

The previous prime is 157934992289. The next prime is 157934992333. The reversal of 157934992320 is 23299439751.

157934992320 is a `hidden beast` number, since 1 + 579 + 3 + 49 + 9 + 2 + 3 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504584484 + ... + 504584796.

Almost surely, 2^157934992320 is an apocalyptic number.

157934992320 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 157934992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326476400640).

157934992320 is an abundant number, since it is smaller than the sum of its proper divisors (495017808960).

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

157934992320 is an equidigital number, since it uses as much as digits as its factorization.

157934992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 157934992320 in words is "one hundred fifty-seven billion, nine hundred thirty-four million, nine hundred ninety-two thousand, three hundred twenty".