32987592225 has 240 divisors, whose sum is σ = 71947180800. Its totient is φ = 14631321600.

The previous prime is 32987592199. The next prime is 32987592229. The reversal of 32987592225 is 52229578923.

32987592225 is a `hidden beast` number, since 3 + 29 + 8 + 7 + 592 + 2 + 25 = 666.

It is not a de Polignac number, because 32987592225 - 2⁵ = 32987592193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32987592229) 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 239 ways as a sum of consecutive naturals, for example, 73468801 + ... + 73469249.

It is an arithmetic number, because the mean of its divisors is an integer number (299779920).

Almost surely, 2^32987592225 is an apocalyptic number.

32987592225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32987592225 is an abundant number, since it is smaller than the sum of its proper divisors (38959588575).

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

32987592225 is a wasteful number, since it uses less digits than its factorization.

32987592225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 32987592225 in words is "thirty-two billion, nine hundred eighty-seven million, five hundred ninety-two thousand, two hundred twenty-five".