21576084544 has 189 divisors, whose sum is σ = 51840064341. Its totient is φ = 8883786240.

The previous prime is 21576084529. The next prime is 21576084583. The reversal of 21576084544 is 44548067512.

The square root of 21576084544 is 146888.

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

It can be written as a sum of positive squares in only one way, i.e., 701614144 + 20874470400 = 26488^2 + 144480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21576084494 and 21576084503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 353706274 + ... + 353706334.

Almost surely, 2^21576084544 is an apocalyptic number.

21576084544 is the 146888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21576084544

21576084544 is an abundant number, since it is smaller than the sum of its proper divisors (30263979797).

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

21576084544 is an frugal number, since it uses more digits than its factorization.

21576084544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

It can be divided in two parts, 215760 and 84544, that added together give a square (300304 = 548²).

The spelling of 21576084544 in words is "twenty-one billion, five hundred seventy-six million, eighty-four thousand, five hundred forty-four".