32025993856992 has 144 divisors (see below), whose sum is σ = 94489010808192. Its totient is φ = 10278523745280.

The previous prime is 32025993856973. The next prime is 32025993857003. The reversal of 32025993856992 is 29965839952023.

32025993856992 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 59 + 9 + 3 + 8 + 569 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32025993856992.

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, 7345603 + ... + 10863234.

It is an arithmetic number, because the mean of its divisors is an integer number (656173686168).

Almost surely, 2^{32025993856992} is an apocalyptic number.

32025993856992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32025993856992 is an abundant number, since it is smaller than the sum of its proper divisors (62463016951200).

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

32025993856992 is a wasteful number, since it uses less digits than its factorization.

32025993856992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18209081 (or 18209070 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 32025993856992 in words is "thirty-two trillion, twenty-five billion, nine hundred ninety-three million, eight hundred fifty-six thousand, nine hundred ninety-two".