128056679654400 has 4752 divisors, whose sum is σ = 575978188286592. Its totient is φ = 28092137472000.

The previous prime is 128056679654347. The next prime is 128056679654437. The reversal of 128056679654400 is 4456976650821.

128056679654400 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 66 + 79 + 65 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1320171955152 + ... + 1320171955248.

Almost surely, 2^{128056679654400} is an apocalyptic number.

128056679654400 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 128056679654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287989094143296).

128056679654400 is an abundant number, since it is smaller than the sum of its proper divisors (447921508632192).

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

128056679654400 is an equidigital number, since it uses as much as digits as its factorization.

128056679654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 128056679654400 in words is "one hundred twenty-eight trillion, fifty-six billion, six hundred seventy-nine million, six hundred fifty-four thousand, four hundred".