128096579520 has 896 divisors, whose sum is σ = 559747399680. Its totient is φ = 26853949440.

The previous prime is 128096579519. The next prime is 128096579551. The reversal of 128096579520 is 25975690821.

128096579520 is a `hidden beast` number, since 1 + 28 + 0 + 96 + 5 + 7 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 150171414 + ... + 150172266.

It is an arithmetic number, because the mean of its divisors is an integer number (624718080).

Almost surely, 2^128096579520 is an apocalyptic number.

128096579520 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 128096579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279873699840).

128096579520 is an abundant number, since it is smaller than the sum of its proper divisors (431650820160).

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

128096579520 is a wasteful number, since it uses less digits than its factorization.

128096579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 128096579520 in words is "one hundred twenty-eight billion, ninety-six million, five hundred seventy-nine thousand, five hundred twenty".