21056096105600 has 144 divisors (see below), whose sum is σ = 53145407219730. Its totient is φ = 8243234856960.

The previous prime is 21056096105549. The next prime is 21056096105651. The reversal of 21056096105600 is 650169065012.

It is an interprime number because it is at equal distance from previous prime (21056096105549) and next prime (21056096105651).

It can be written as a sum of positive squares in 3 ways, for example, as 20314058580544 + 742037525056 = 4507112^2 + 861416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5579432 + ... + 8558168.

Almost surely, 2^{21056096105600} is an apocalyptic number.

21056096105600 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 21056096105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26572703609865).

21056096105600 is an abundant number, since it is smaller than the sum of its proper divisors (32089311114130).

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

21056096105600 is an equidigital number, since it uses as much as digits as its factorization.

21056096105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978855 (or 2978791 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 21056096105600 in words is "twenty-one trillion, fifty-six billion, ninety-six million, one hundred five thousand, six hundred".