128591280000 has 640 divisors, whose sum is σ = 487372116000. Its totient is φ = 33343488000.

The previous prime is 128591279989. The next prime is 128591280043. The reversal of 128591280000 is 82195821.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79919196 + ... + 79920804.

Almost surely, 2^128591280000 is an apocalyptic number.

128591280000 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 128591280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243686058000).

128591280000 is an abundant number, since it is smaller than the sum of its proper divisors (358780836000).

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

128591280000 is an equidigital number, since it uses as much as digits as its factorization.

128591280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 128591280000 in words is "one hundred twenty-eight billion, five hundred ninety-one million, two hundred eighty thousand".