157882555728 has 320 divisors, whose sum is σ = 470927001600. Its totient is φ = 50620308480.

The previous prime is 157882555693. The next prime is 157882555751. The reversal of 157882555728 is 827555288751.

157882555728 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 8 + 2 + 55 + 572 + 8 = 666.

157882555728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239578663 + ... + 239579321.

It is an arithmetic number, because the mean of its divisors is an integer number (1471646880).

Almost surely, 2^157882555728 is an apocalyptic number.

157882555728 is a gapful number since it is divisible by the number (18) 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 157882555728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235463500800).

157882555728 is an abundant number, since it is smaller than the sum of its proper divisors (313044445872).

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

157882555728 is a wasteful number, since it uses less digits than its factorization.

157882555728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its digits is 62720000, while the sum is 63.

The spelling of 157882555728 in words is "one hundred fifty-seven billion, eight hundred eighty-two million, five hundred fifty-five thousand, seven hundred twenty-eight".