21777976889344 has 351 divisors, whose sum is σ = 48445071221169. Its totient is φ = 9784364728320.

The previous prime is 21777976889323. The next prime is 21777976889359. The reversal of 21777976889344 is 44398867977712.

The square root of 21777976889344 is 4666688.

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., 3221594214400 + 18556382674944 = 1794880^2 + 4307712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275670593497 + ... + 275670593575.

Almost surely, 2^{21777976889344} is an apocalyptic number.

21777976889344 is the 4666688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21777976889344

21777976889344 is an abundant number, since it is smaller than the sum of its proper divisors (26667094331825).

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

21777976889344 is an frugal number, since it uses more digits than its factorization.

21777976889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 165 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 82.

The spelling of 21777976889344 in words is "twenty-one trillion, seven hundred seventy-seven billion, nine hundred seventy-six million, eight hundred eighty-nine thousand, three hundred forty-four".