21753564379200 has 420 divisors, whose sum is σ = 82540021124352. Its totient is φ = 5613822028800.

The previous prime is 21753564379181. The next prime is 21753564379213. The reversal of 21753564379200 is 297346535712.

21753564379200 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 3 + 5 + 64 + 379 + 200 = 666.

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

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, 1310317 + ... + 6724883.

Almost surely, 2^{21753564379200} is an apocalyptic number.

21753564379200 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 21753564379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41270010562176).

21753564379200 is an abundant number, since it is smaller than the sum of its proper divisors (60786456745152).

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

21753564379200 is a wasteful number, since it uses less digits than its factorization.

21753564379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414632 (or 5414608 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

It can be divided in two parts, 2175356 and 4379200, that added together give a palindrome (6554556).

The spelling of 21753564379200 in words is "twenty-one trillion, seven hundred fifty-three billion, five hundred sixty-four million, three hundred seventy-nine thousand, two hundred".