128756433600 has 420 divisors, whose sum is σ = 498195066600. Its totient is φ = 32527319040.

The previous prime is 128756433599. The next prime is 128756433601. The reversal of 128756433600 is 6334657821.

128756433600 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 5 + 6 + 4 + 33 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (128756433599) and next prime (128756433601).

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

It is not an unprimeable number, because it can be changed into a prime (128756433601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2436256 + ... + 2488544.

It is an arithmetic number, because the mean of its divisors is an integer number (1186178730).

Almost surely, 2^128756433600 is an apocalyptic number.

128756433600 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 128756433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249097533300).

128756433600 is an abundant number, since it is smaller than the sum of its proper divisors (369438633000).

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

128756433600 is a wasteful number, since it uses less digits than its factorization.

128756433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52342 (or 52318 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 128756433600 in words is "one hundred twenty-eight billion, seven hundred fifty-six million, four hundred thirty-three thousand, six hundred".