21625059456 has 1536 divisors, whose sum is σ = 93768192000. Its totient is φ = 4807434240.

The previous prime is 21625059439. The next prime is 21625059461. The reversal of 21625059456 is 65495052612.

21625059456 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 5 + 0 + 594 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460107625 + ... + 460107671.

It is an arithmetic number, because the mean of its divisors is an integer number (61047000).

Almost surely, 2^21625059456 is an apocalyptic number.

21625059456 is a gapful number since it is divisible by the number (26) 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 21625059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096000).

21625059456 is an abundant number, since it is smaller than the sum of its proper divisors (72143132544).

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

21625059456 is a wasteful number, since it uses less digits than its factorization.

21625059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 21625059456 in words is "twenty-one billion, six hundred twenty-five million, fifty-nine thousand, four hundred fifty-six".