157996396800 has 1080 divisors, whose sum is σ = 645871786560. Its totient is φ = 37789286400.

The previous prime is 157996396799. The next prime is 157996396813. The reversal of 157996396800 is 8693699751.

157996396800 is a `hidden beast` number, since 15 + 79 + 96 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×157996396800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 587347066 + ... + 587347334.

It is an arithmetic number, because the mean of its divisors is an integer number (598029432).

Almost surely, 2^157996396800 is an apocalyptic number.

157996396800 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 157996396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322935893280).

157996396800 is an abundant number, since it is smaller than the sum of its proper divisors (487875389760).

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

157996396800 is a wasteful number, since it uses less digits than its factorization.

157996396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 157996396800 in words is "one hundred fifty-seven billion, nine hundred ninety-six million, three hundred ninety-six thousand, eight hundred".