21525910560 has 576 divisors, whose sum is σ = 92726000640. Its totient is φ = 4417136640.

The previous prime is 21525910547. The next prime is 21525910577. The reversal of 21525910560 is 6501952512.

21525910560 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 5 + 91 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9201871 + ... + 9204209.

It is an arithmetic number, because the mean of its divisors is an integer number (160982640).

Almost surely, 2^21525910560 is an apocalyptic number.

21525910560 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 21525910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46363000320).

21525910560 is an abundant number, since it is smaller than the sum of its proper divisors (71200090080).

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

21525910560 is a wasteful number, since it uses less digits than its factorization.

21525910560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 21525910560 in words is "twenty-one billion, five hundred twenty-five million, nine hundred ten thousand, five hundred sixty".