21325252608 has 576 divisors, whose sum is σ = 74511964800. Its totient is φ = 5796003840.

The previous prime is 21325252603. The next prime is 21325252609. The reversal of 21325252608 is 80625252312.

It is a happy number.

21325252608 is a `hidden beast` number, since 2 + 1 + 3 + 25 + 25 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21325252603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79275898 + ... + 79276166.

It is an arithmetic number, because the mean of its divisors is an integer number (129361050).

Almost surely, 2^21325252608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21325252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255982400).

21325252608 is an abundant number, since it is smaller than the sum of its proper divisors (53186712192).

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

21325252608 is a wasteful number, since it uses less digits than its factorization.

21325252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21325252608 in words is "twenty-one billion, three hundred twenty-five million, two hundred fifty-two thousand, six hundred eight".