21922905164160 has 3072 divisors, whose sum is σ = 100130363827200. Its totient is φ = 4005152686080.

The previous prime is 21922905164101. The next prime is 21922905164179. The reversal of 21922905164160 is 6146150922912.

It is a super-2 number, since 2×21922905164160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32382429742 + ... + 32382430418.

It is an arithmetic number, because the mean of its divisors is an integer number (32594519475).

Almost surely, 2^{21922905164160} is an apocalyptic number.

21922905164160 is a gapful number since it is divisible by the number (20) 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 21922905164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50065181913600).

21922905164160 is an abundant number, since it is smaller than the sum of its proper divisors (78207458663040).

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

21922905164160 is a wasteful number, since it uses less digits than its factorization.

21922905164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 21922905164160 in words is "twenty-one trillion, nine hundred twenty-two billion, nine hundred five million, one hundred sixty-four thousand, one hundred sixty".