21722573552400 has 540 divisors, whose sum is σ = 90938681603952. Its totient is φ = 4965158580480.

The previous prime is 21722573552347. The next prime is 21722573552417. The reversal of 21722573552400 is 425537522712.

21722573552400 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 2 + 57 + 3 + 552 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 107 ways as a sum of consecutive naturals, for example, 2482359 + ... + 7043241.

Almost surely, 2^{21722573552400} is an apocalyptic number.

21722573552400 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 21722573552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45469340801976).

21722573552400 is an abundant number, since it is smaller than the sum of its proper divisors (69216108051552).

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

21722573552400 is a wasteful number, since it uses less digits than its factorization.

21722573552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560930 (or 4560900 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 21722573552400 in words is "twenty-one trillion, seven hundred twenty-two billion, five hundred seventy-three million, five hundred fifty-two thousand, four hundred".