128599381296 has 160 divisors (see below), whose sum is σ = 404319211200. Its totient is φ = 38953635840.

The previous prime is 128599381283. The next prime is 128599381297. The reversal of 128599381296 is 692183995821.

128599381296 is a `hidden beast` number, since 1 + 2 + 8 + 599 + 38 + 1 + 2 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (128599381297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88935 + ... + 514886.

It is an arithmetic number, because the mean of its divisors is an integer number (2526995070).

Almost surely, 2^128599381296 is an apocalyptic number.

128599381296 is a gapful number since it is divisible by the number (16) 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 128599381296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202159605600).

128599381296 is an abundant number, since it is smaller than the sum of its proper divisors (275719829904).

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

128599381296 is a wasteful number, since it uses less digits than its factorization.

128599381296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603884 (or 603872 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 128599381296 in words is "one hundred twenty-eight billion, five hundred ninety-nine million, three hundred eighty-one thousand, two hundred ninety-six".