21525048000 has 448 divisors, whose sum is σ = 79501593600. Its totient is φ = 5701708800.

The previous prime is 21525047989. The next prime is 21525048023. The reversal of 21525048000 is 84052512.

It is a happy number.

21525048000 is a `hidden beast` number, since 2 + 152 + 504 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49031781 + ... + 49032219.

Almost surely, 2^21525048000 is an apocalyptic number.

21525048000 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 21525048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750796800).

21525048000 is an abundant number, since it is smaller than the sum of its proper divisors (57976545600).

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

21525048000 is a wasteful number, since it uses less digits than its factorization.

21525048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 21525048000 in words is "twenty-one billion, five hundred twenty-five million, forty-eight thousand".