21204923868360 has 320 divisors, whose sum is σ = 72472581569520. Its totient is φ = 5559484170240.

The previous prime is 21204923868313. The next prime is 21204923868437. The reversal of 21204923868360 is 6386832940212.

21204923868360 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 49 + 238 + 6 + 8 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 524822006916 + 20680101861444 = 724446^2 + 4547538^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21204923868297 and 21204923868306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 469767712 + ... + 469812848.

Almost surely, 2^{21204923868360} is an apocalyptic number.

21204923868360 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 21204923868360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36236290784760).

21204923868360 is an abundant number, since it is smaller than the sum of its proper divisors (51267657701160).

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

21204923868360 is a wasteful number, since it uses less digits than its factorization.

21204923868360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47598 (or 47585 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 21204923868360 in words is "twenty-one trillion, two hundred four billion, nine hundred twenty-three million, eight hundred sixty-eight thousand, three hundred sixty".