21079555344 has 225 divisors, whose sum is σ = 63284385087. Its totient is φ = 6773891328.

The previous prime is 21079555333. The next prime is 21079555363. The reversal of 21079555344 is 44355597012.

The square root of 21079555344 is 145188.

It is a perfect power (a square), and thus also a powerful number.

21079555344 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 95 + 553 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7874787600 + 13204767744 = 88740^2 + 114912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21079555344.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 193390362 + ... + 193390470.

Almost surely, 2^21079555344 is an apocalyptic number.

21079555344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21079555344 is the 145188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21079555344

21079555344 is an abundant number, since it is smaller than the sum of its proper divisors (42204829743).

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

21079555344 is an equidigital number, since it uses as much as digits as its factorization.

21079555344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 21079555344 in words is "twenty-one billion, seventy-nine million, five hundred fifty-five thousand, three hundred forty-four".