21825920188800 has 2304 divisors, whose sum is σ = 101840226808320. Its totient is φ = 4492114329600.

The previous prime is 21825920188781. The next prime is 21825920188883. The reversal of 21825920188800 is 888102952812.

It is a happy number.

21825920188800 is a `hidden beast` number, since 218 + 259 + 20 + 1 + 88 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2901221839 + ... + 2901229361.

It is an arithmetic number, because the mean of its divisors is an integer number (44201487330).

Almost surely, 2^{21825920188800} is an apocalyptic number.

21825920188800 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 21825920188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920113404160).

21825920188800 is an abundant number, since it is smaller than the sum of its proper divisors (80014306619520).

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

21825920188800 is a wasteful number, since it uses less digits than its factorization.

21825920188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 21825920188800 in words is "twenty-one trillion, eight hundred twenty-five billion, nine hundred twenty million, one hundred eighty-eight thousand, eight hundred".