157385904480 has 288 divisors, whose sum is σ = 622452999168. Its totient is φ = 35467084800.

The previous prime is 157385904469. The next prime is 157385904509. The reversal of 157385904480 is 84409583751.

157385904480 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 8 + 590 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605725 + ... + 825635.

It is an arithmetic number, because the mean of its divisors is an integer number (2161295136).

Almost surely, 2^157385904480 is an apocalyptic number.

157385904480 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 157385904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311226499584).

157385904480 is an abundant number, since it is smaller than the sum of its proper divisors (465067094688).

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

157385904480 is a wasteful number, since it uses less digits than its factorization.

157385904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220010 (or 219999 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 157385904480 in words is "one hundred fifty-seven billion, three hundred eighty-five million, nine hundred four thousand, four hundred eighty".