32129872992 has 96 divisors (see below), whose sum is σ = 107099596800. Its totient is φ = 9179961984.

The previous prime is 32129872991. The next prime is 32129872997. The reversal of 32129872992 is 29927892123.

32129872992 is a `hidden beast` number, since 321 + 29 + 8 + 7 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32129872991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650192 + ... + 2662287.

It is an arithmetic number, because the mean of its divisors is an integer number (1115620800).

Almost surely, 2^32129872992 is an apocalyptic number.

32129872992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32129872992 is an abundant number, since it is smaller than the sum of its proper divisors (74969723808).

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

32129872992 is a wasteful number, since it uses less digits than its factorization.

32129872992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312505 (or 5312491 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 32129872992 in words is "thirty-two billion, one hundred twenty-nine million, eight hundred seventy-two thousand, nine hundred ninety-two".