157328042960 has 120 divisors (see below), whose sum is σ = 415034769408. Its totient is φ = 55364601600.

The previous prime is 157328042857. The next prime is 157328042987. The reversal of 157328042960 is 69240823751.

157328042960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157328042960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37937 + ... + 562223.

It is a 1-persistent number, because it is pandigital, but 2⋅157328042960 = 314656085920 is not.

Almost surely, 2^157328042960 is an apocalyptic number.

157328042960 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 157328042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207517384704).

157328042960 is an abundant number, since it is smaller than the sum of its proper divisors (257706726448).

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

157328042960 is a wasteful number, since it uses less digits than its factorization.

157328042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524353 (or 524336 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 157328042960 in words is "one hundred fifty-seven billion, three hundred twenty-eight million, forty-two thousand, nine hundred sixty".