21775657712 has 80 divisors (see below), whose sum is σ = 44901292800. Its totient is φ = 10201489920.

The previous prime is 21775657703. The next prime is 21775657733.

21775657712 is nontrivially palindromic in base 10.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 13140788 + ... + 13142444.

It is an arithmetic number, because the mean of its divisors is an integer number (561266160).

Almost surely, 2^21775657712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21775657712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450646400).

21775657712 is an abundant number, since it is smaller than the sum of its proper divisors (23125635088).

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

21775657712 is a wasteful number, since it uses less digits than its factorization.

21775657712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2128 counting only the distinct ones).

The product of its digits is 1440600, while the sum is 50.

The spelling of 21775657712 in words is "twenty-one billion, seven hundred seventy-five million, six hundred fifty-seven thousand, seven hundred twelve".