21882692664 has 192 divisors, whose sum is σ = 69045350400. Its totient is φ = 6131503872.

The previous prime is 21882692659. The next prime is 21882692677. The reversal of 21882692664 is 46629628812.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21882692664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20130729 + ... + 20131815.

It is an arithmetic number, because the mean of its divisors is an integer number (359611200).

Almost surely, 2^21882692664 is an apocalyptic number.

21882692664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21882692664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34522675200).

21882692664 is an abundant number, since it is smaller than the sum of its proper divisors (47162657736).

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

21882692664 is a wasteful number, since it uses less digits than its factorization.

21882692664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1835 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 21882692664 in words is "twenty-one billion, eight hundred eighty-two million, six hundred ninety-two thousand, six hundred sixty-four".