128552124056688 has 120 divisors (see below), whose sum is σ = 361065679603200. Its totient is φ = 42696346154112.

The previous prime is 128552124056567. The next prime is 128552124056723. The reversal of 128552124056688 is 886650421255821.

128552124056688 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 5 + 21 + 2 + 40 + 566 + 8 + 8 = 666.

It is a super-2 number, since 2×128552124056688² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44041131 + ... + 46869237.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880663360).

Almost surely, 2^{128552124056688} is an apocalyptic number.

128552124056688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128552124056688 is an abundant number, since it is smaller than the sum of its proper divisors (232513555546512).

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

128552124056688 is a wasteful number, since it uses less digits than its factorization.

128552124056688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829259 (or 2829250 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 128552124056688 in words is "one hundred twenty-eight trillion, five hundred fifty-two billion, one hundred twenty-four million, fifty-six thousand, six hundred eighty-eight".