128813195160 has 640 divisors, whose sum is σ = 491774976000. Its totient is φ = 30017848320.

The previous prime is 128813195153. The next prime is 128813195179. The reversal of 128813195160 is 61591318821.

128813195160 is a `hidden beast` number, since 1 + 28 + 81 + 31 + 9 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61367791 + ... + 61369889.

It is an arithmetic number, because the mean of its divisors is an integer number (768398400).

Almost surely, 2^128813195160 is an apocalyptic number.

128813195160 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 128813195160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488000).

128813195160 is an abundant number, since it is smaller than the sum of its proper divisors (362961780840).

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

128813195160 is a wasteful number, since it uses less digits than its factorization.

128813195160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 128813195160 in words is "one hundred twenty-eight billion, eight hundred thirteen million, one hundred ninety-five thousand, one hundred sixty".