128125840012560 has 240 divisors, whose sum is σ = 475912468287984. Its totient is φ = 30686271787008.

The previous prime is 128125840012487. The next prime is 128125840012609. The reversal of 128125840012560 is 65210048521821.

128125840012560 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 5 + 84 + 0 + 0 + 1 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7332375802896 + 120793464209664 = 2707836^2 + 10990608^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×128125840012560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184635547 + ... + 185328186.

Almost surely, 2^{128125840012560} is an apocalyptic number.

128125840012560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128125840012560 is an abundant number, since it is smaller than the sum of its proper divisors (347786628275424).

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

128125840012560 is a wasteful number, since it uses less digits than its factorization.

128125840012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369963802 (or 369963793 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 128125840012560 in words is "one hundred twenty-eight trillion, one hundred twenty-five billion, eight hundred forty million, twelve thousand, five hundred sixty".