22920126768 has 600 divisors, whose sum is σ = 85818078720. Its totient is φ = 5737132800.

The previous prime is 22920126751. The next prime is 22920126793. The reversal of 22920126768 is 86762102922.

It is a super-2 number, since 2×22920126768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95899993 + ... + 95900231.

Almost surely, 2^22920126768 is an apocalyptic number.

22920126768 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 22920126768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42909039360).

22920126768 is an abundant number, since it is smaller than the sum of its proper divisors (62897951952).

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

22920126768 is a wasteful number, since it uses less digits than its factorization.

22920126768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22920126768 in words is "twenty-two billion, nine hundred twenty million, one hundred twenty-six thousand, seven hundred sixty-eight".