128575235088864 has 120 divisors (see below), whose sum is σ = 398038100007240. Its totient is φ = 40602705801984.

The previous prime is 128575235088847. The next prime is 128575235088869. The reversal of 128575235088864 is 468880532575821.

128575235088864 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 7 + 52 + 3 + 508 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 128575235088792 and 128575235088801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128575235088869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1305336099 + ... + 1305434594.

It is an arithmetic number, because the mean of its divisors is an integer number (3316984166727).

Almost surely, 2^{128575235088864} is an apocalyptic number.

It is an amenable number.

128575235088864 is an abundant number, since it is smaller than the sum of its proper divisors (269462864918376).

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

128575235088864 is a wasteful number, since it uses less digits than its factorization.

128575235088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610770734 (or 2610770717 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 128575235088864 in words is "one hundred twenty-eight trillion, five hundred seventy-five billion, two hundred thirty-five million, eighty-eight thousand, eight hundred sixty-four".