157361594880 has 1280 divisors, whose sum is σ = 633559449600. Its totient is φ = 33236582400.

The previous prime is 157361594869. The next prime is 157361594909. The reversal of 157361594880 is 88495163751.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 157361594880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3348119017 + ... + 3348119063.

It is an arithmetic number, because the mean of its divisors is an integer number (494968320).

Almost surely, 2^157361594880 is an apocalyptic number.

157361594880 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 157361594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316779724800).

157361594880 is an abundant number, since it is smaller than the sum of its proper divisors (476197854720).

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

157361594880 is an equidigital number, since it uses as much as digits as its factorization.

157361594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 157361594880 in words is "one hundred fifty-seven billion, three hundred sixty-one million, five hundred ninety-four thousand, eight hundred eighty".