128522132928000 has 1920 divisors, whose sum is σ = 541243085011200. Its totient is φ = 29300214988800.

The previous prime is 128522132927983. The next prime is 128522132928019. The reversal of 128522132928000 is 829231225821.

128522132928000 is a `hidden beast` number, since 1 + 2 + 8 + 522 + 1 + 32 + 92 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117157823452 + ... + 117157824548.

It is an arithmetic number, because the mean of its divisors is an integer number (281897440110).

Almost surely, 2^{128522132928000} is an apocalyptic number.

128522132928000 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 128522132928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270621542505600).

128522132928000 is an abundant number, since it is smaller than the sum of its proper divisors (412720952083200).

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

128522132928000 is an equidigital number, since it uses as much as digits as its factorization.

128522132928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 128522132928000 in words is "one hundred twenty-eight trillion, five hundred twenty-two billion, one hundred thirty-two million, nine hundred twenty-eight thousand".