128315975580 has 768 divisors, whose sum is σ = 471562076160. Its totient is φ = 28707250176.

The previous prime is 128315975569. The next prime is 128315975587. The reversal of 128315975580 is 85579513821.

128315975580 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 1 + 59 + 7 + 5 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128315975587) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 280778712 + ... + 280779168.

It is an arithmetic number, because the mean of its divisors is an integer number (614013120).

Almost surely, 2^128315975580 is an apocalyptic number.

128315975580 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 128315975580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235781038080).

128315975580 is an abundant number, since it is smaller than the sum of its proper divisors (343246100580).

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

128315975580 is a wasteful number, since it uses less digits than its factorization.

128315975580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 128315975580 in words is "one hundred twenty-eight billion, three hundred fifteen million, nine hundred seventy-five thousand, five hundred eighty".