21632002560 has 600 divisors, whose sum is σ = 90170964180. Its totient is φ = 4942135296.

The previous prime is 21632002559. The next prime is 21632002577. The reversal of 21632002560 is 6520023612.

21632002560 is a `hidden beast` number, since 2 + 1 + 632 + 0 + 0 + 25 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20777492736 + 854509824 = 144144^2 + 29232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10159576 + ... + 10161704.

Almost surely, 2^21632002560 is an apocalyptic number.

21632002560 is a gapful number since it is divisible by the number (20) 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 21632002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45085482090).

21632002560 is an abundant number, since it is smaller than the sum of its proper divisors (68538961620).

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

21632002560 is an equidigital number, since it uses as much as digits as its factorization.

21632002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21632002560 in words is "twenty-one billion, six hundred thirty-two million, two thousand, five hundred sixty".