21966654528 has 1008 divisors, whose sum is σ = 87271067520. Its totient is φ = 5211537408.

The previous prime is 21966654511. The next prime is 21966654553. The reversal of 21966654528 is 82545666912.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×21966654528² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160340476 + ... + 160340612.

It is an arithmetic number, because the mean of its divisors is an integer number (86578440).

Almost surely, 2^21966654528 is an apocalyptic number.

21966654528 is a gapful number since it is divisible by the number (28) 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 21966654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43635533760).

21966654528 is an abundant number, since it is smaller than the sum of its proper divisors (65304412992).

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

21966654528 is a wasteful number, since it uses less digits than its factorization.

21966654528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 21966654528 in words is "twenty-one billion, nine hundred sixty-six million, six hundred fifty-four thousand, five hundred twenty-eight".