21632142078225 has 144 divisors (see below), whose sum is σ = 44489865264000. Its totient is φ = 9842287656960.

The previous prime is 21632142078193. The next prime is 21632142078259. The reversal of 21632142078225 is 52287024123612.

21632142078225 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 214 + 207 + 8 + 225 = 666.

It is not a de Polignac number, because 21632142078225 - 2⁵ = 21632142078193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1198514001 + ... + 1198532049.

Almost surely, 2^{21632142078225} is an apocalyptic number.

21632142078225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21632142078225 is an abundant number, since it is smaller than the sum of its proper divisors (22857723185775).

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

21632142078225 is a wasteful number, since it uses less digits than its factorization.

21632142078225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21624 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21632142078225 in words is "twenty-one trillion, six hundred thirty-two billion, one hundred forty-two million, seventy-eight thousand, two hundred twenty-five".