21641313600 has 126 divisors (see below), whose sum is σ = 76918389470. Its totient is φ = 5771013120.

The previous prime is 21641313583. The next prime is 21641313611. The reversal of 21641313600 is 631314612.

21641313600 is a `hidden beast` number, since 2 + 1 + 6 + 41 + 3 + 13 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1631513664 + 20009799936 = 40392^2 + 141456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 737035 + ... + 765834.

Almost surely, 2^21641313600 is an apocalyptic number.

21641313600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21641313600 is an abundant number, since it is smaller than the sum of its proper divisors (55277075870).

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

21641313600 is a wasteful number, since it uses less digits than its factorization.

21641313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502897 (or 1502879 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

It can be divided in two parts, 21641 and 313600, that added together give a square (335241 = 579²).

The spelling of 21641313600 in words is "twenty-one billion, six hundred forty-one million, three hundred thirteen thousand, six hundred".