128879964000 has 768 divisors, whose sum is σ = 497972966400. Its totient is φ = 32285952000.

The previous prime is 128879963977. The next prime is 128879964011. The reversal of 128879964000 is 469978821.

128879964000 is a `hidden beast` number, since 1 + 2 + 88 + 79 + 96 + 400 + 0 = 666.

128879964000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128879964000² (a number of 23 digits) contains 22 as substring.

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, 371411827 + ... + 371412173.

It is an arithmetic number, because the mean of its divisors is an integer number (648402300).

Almost surely, 2^128879964000 is an apocalyptic number.

128879964000 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 128879964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248986483200).

128879964000 is an abundant number, since it is smaller than the sum of its proper divisors (369093002400).

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

128879964000 is a wasteful number, since it uses less digits than its factorization.

128879964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 128879964000 in words is "one hundred twenty-eight billion, eight hundred seventy-nine million, nine hundred sixty-four thousand".