128531686400 has 264 divisors, whose sum is σ = 361187090880. Its totient is φ = 44957859840.

The previous prime is 128531686397. The next prime is 128531686411. The reversal of 128531686400 is 4686135821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6313037 + ... + 6333363.

It is an arithmetic number, because the mean of its divisors is an integer number (1368132920).

Almost surely, 2^128531686400 is an apocalyptic number.

128531686400 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 128531686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180593545440).

128531686400 is an abundant number, since it is smaller than the sum of its proper divisors (232655404480).

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

128531686400 is a wasteful number, since it uses less digits than its factorization.

128531686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20389 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 128531686400 in words is "one hundred twenty-eight billion, five hundred thirty-one million, six hundred eighty-six thousand, four hundred".