128925388800 has 1248 divisors, whose sum is σ = 542619020160. Its totient is φ = 29727129600.

The previous prime is 128925388777. The next prime is 128925388807. The reversal of 128925388800 is 8883529821.

128925388800 is a `hidden beast` number, since 1 + 28 + 9 + 2 + 538 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 (128925388807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611020695 + ... + 611020905.

Almost surely, 2^128925388800 is an apocalyptic number.

128925388800 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 128925388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271309510080).

128925388800 is an abundant number, since it is smaller than the sum of its proper divisors (413693631360).

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

128925388800 is a wasteful number, since it uses less digits than its factorization.

128925388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 128925388800 in words is "one hundred twenty-eight billion, nine hundred twenty-five million, three hundred eighty-eight thousand, eight hundred".