21652825600 has 720 divisors, whose sum is σ = 69413414400. Its totient is φ = 6642155520.

The previous prime is 21652825529. The next prime is 21652825609. The reversal of 21652825600 is 652825612.

It is a self number, because there is not a number n which added to its sum of digits gives 21652825600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21652825609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274086361 + ... + 274086439.

It is an arithmetic number, because the mean of its divisors is an integer number (96407520).

Almost surely, 2^21652825600 is an apocalyptic number.

21652825600 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 21652825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34706707200).

21652825600 is an abundant number, since it is smaller than the sum of its proper divisors (47760588800).

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

21652825600 is a wasteful number, since it uses less digits than its factorization.

21652825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 21652825600 in words is "twenty-one billion, six hundred fifty-two million, eight hundred twenty-five thousand, six hundred".