128927775600 has 960 divisors, whose sum is σ = 550989734400. Its totient is φ = 28287221760.

The previous prime is 128927775553. The next prime is 128927775607. The reversal of 128927775600 is 6577729821.

It is a happy number.

128927775600 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 2 + 7 + 77 + 560 + 0 = 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 (128927775607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45347779 + ... + 45350621.

It is an arithmetic number, because the mean of its divisors is an integer number (573947640).

Almost surely, 2^128927775600 is an apocalyptic number.

128927775600 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 128927775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275494867200).

128927775600 is an abundant number, since it is smaller than the sum of its proper divisors (422061958800).

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

128927775600 is a wasteful number, since it uses less digits than its factorization.

128927775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 128927775600 in words is "one hundred twenty-eight billion, nine hundred twenty-seven million, seven hundred seventy-five thousand, six hundred".