157568256720000 has 1920 divisors, whose sum is σ = 676719640396800. Its totient is φ = 35736629760000.

The previous prime is 157568256719987. The next prime is 157568256720013. The reversal of 157568256720000 is 27652865751.

157568256720000 is a `hidden beast` number, since 1 + 5 + 7 + 56 + 8 + 2 + 567 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157568256719987) and next prime (157568256720013).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17826475581 + ... + 17826484419.

It is an arithmetic number, because the mean of its divisors is an integer number (352458146040).

Almost surely, 2^{157568256720000} is an apocalyptic number.

157568256720000 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 157568256720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338359820198400).

157568256720000 is an abundant number, since it is smaller than the sum of its proper divisors (519151383676800).

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

157568256720000 is an frugal number, since it uses more digits than its factorization.

157568256720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 157568256720000 in words is "one hundred fifty-seven trillion, five hundred sixty-eight billion, two hundred fifty-six million, seven hundred twenty thousand".