21325193568 has 384 divisors, whose sum is σ = 73084032000. Its totient is φ = 6046935552.

The previous prime is 21325193563. The next prime is 21325193597. The reversal of 21325193568 is 86539152312.

21325193568 is a `hidden beast` number, since 2 + 1 + 32 + 51 + 9 + 3 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21325193563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67271746 + ... + 67272062.

It is an arithmetic number, because the mean of its divisors is an integer number (190323000).

Almost surely, 2^21325193568 is an apocalyptic number.

21325193568 is a gapful number since it is divisible by the number (28) 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 21325193568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36542016000).

21325193568 is an abundant number, since it is smaller than the sum of its proper divisors (51758838432).

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

21325193568 is a wasteful number, since it uses less digits than its factorization.

21325193568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 556 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 21325193568 in words is "twenty-one billion, three hundred twenty-five million, one hundred ninety-three thousand, five hundred sixty-eight".