128612592931680 has 2016 divisors, whose sum is σ = 568562220844128. Its totient is φ = 27086458060800.

The previous prime is 128612592931661. The next prime is 128612592931717. The reversal of 128612592931680 is 86139295216821.

128612592931680 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 2 + 592 + 9 + 31 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×128612592931680² (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 335 ways as a sum of consecutive naturals, for example, 4820367940 + ... + 4820394620.

It is an arithmetic number, because the mean of its divisors is an integer number (282024911133).

Almost surely, 2^{128612592931680} is an apocalyptic number.

128612592931680 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 128612592931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284281110422064).

128612592931680 is an abundant number, since it is smaller than the sum of its proper divisors (439949627912448).

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

128612592931680 is a wasteful number, since it uses less digits than its factorization.

128612592931680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26772 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 128612592931680 in words is "one hundred twenty-eight trillion, six hundred twelve billion, five hundred ninety-two million, nine hundred thirty-one thousand, six hundred eighty".