21772097259364 has 243 divisors, whose sum is σ = 44329249991691. Its totient is φ = 9353019939840.

The previous prime is 21772097259349. The next prime is 21772097259401. The reversal of 21772097259364 is 46395279027712.

The square root of 21772097259364 is 4666058.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10991844964 + 21761105414400 = 104842^2 + 4664880^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21772097259296 and 21772097259305.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93442477392 + ... + 93442477624.

Almost surely, 2^{21772097259364} is an apocalyptic number.

21772097259364 is the 4666058-th square number.

It is an amenable number.

21772097259364 is an abundant number, since it is smaller than the sum of its proper divisors (22557152732327).

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

21772097259364 is a wasteful number, since it uses less digits than its factorization.

21772097259364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 64.

The spelling of 21772097259364 in words is "twenty-one trillion, seven hundred seventy-two billion, ninety-seven million, two hundred fifty-nine thousand, three hundred sixty-four".