128391569510400 has 2496 divisors, whose sum is σ = 557079110131200. Its totient is φ = 28374969876480.

The previous prime is 128391569510311. The next prime is 128391569510401. The reversal of 128391569510400 is 4015965193821.

128391569510400 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 91 + 56 + 95 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128391569510401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138204057136 + ... + 138204058064.

Almost surely, 2^{128391569510400} is an apocalyptic number.

128391569510400 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 128391569510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278539555065600).

128391569510400 is an abundant number, since it is smaller than the sum of its proper divisors (428687540620800).

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

128391569510400 is a wasteful number, since it uses less digits than its factorization.

128391569510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 128391569510400 in words is "one hundred twenty-eight trillion, three hundred ninety-one billion, five hundred sixty-nine million, five hundred ten thousand, four hundred".