22426656000 has 576 divisors, whose sum is σ = 88894181376. Its totient is φ = 4899840000.

The previous prime is 22426655987. The next prime is 22426656019. The reversal of 22426656000 is 65662422.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15455275 + ... + 15456725.

It is an arithmetic number, because the mean of its divisors is an integer number (154330176).

Almost surely, 2^22426656000 is an apocalyptic number.

22426656000 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 22426656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447090688).

22426656000 is an abundant number, since it is smaller than the sum of its proper divisors (66467525376).

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

22426656000 is a wasteful number, since it uses less digits than its factorization.

22426656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 22426656000 in words is "twenty-two billion, four hundred twenty-six million, six hundred fifty-six thousand".