21096244684800 has 432 divisors, whose sum is σ = 76791662323740. Its totient is φ = 5533433856000.

The previous prime is 21096244684699. The next prime is 21096244684817. The reversal of 21096244684800 is 848644269012.

It is a happy number.

21096244684800 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 62 + 44 + 68 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20653138944 + 21075591545856 = 143712^2 + 4590816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27733540 + ... + 28484060.

Almost surely, 2^{21096244684800} is an apocalyptic number.

21096244684800 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 21096244684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395831161870).

21096244684800 is an abundant number, since it is smaller than the sum of its proper divisors (55695417638940).

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

21096244684800 is a wasteful number, since it uses less digits than its factorization.

21096244684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750620 (or 750592 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 21096244684800 in words is "twenty-one trillion, ninety-six billion, two hundred forty-four million, six hundred eighty-four thousand, eight hundred".