128398037625 has 512 divisors, whose sum is σ = 298896998400. Its totient is φ = 53488512000.

The previous prime is 128398037609. The next prime is 128398037641. The reversal of 128398037625 is 526730893821.

128398037625 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 9 + 8 + 0 + 3 + 7 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (128398037609) and next prime (128398037641).

It is not a de Polignac number, because 128398037625 - 2⁴ = 128398037609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 477315991 + ... + 477316259.

It is an arithmetic number, because the mean of its divisors is an integer number (583783200).

Almost surely, 2^128398037625 is an apocalyptic number.

128398037625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128398037625 is an abundant number, since it is smaller than the sum of its proper divisors (170498960775).

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

128398037625 is a wasteful number, since it uses less digits than its factorization.

128398037625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 128398037625 in words is "one hundred twenty-eight billion, three hundred ninety-eight million, thirty-seven thousand, six hundred twenty-five".