22892126080 has 128 divisors (see below), whose sum is σ = 56597564160. Its totient is φ = 8844902400.

The previous prime is 22892126077. The next prime is 22892126087. The reversal of 22892126080 is 8062129822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22892126087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19383090 + ... + 19384270.

It is an arithmetic number, because the mean of its divisors is an integer number (442168470).

Almost surely, 2^22892126080 is an apocalyptic number.

22892126080 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 22892126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298782080).

22892126080 is an abundant number, since it is smaller than the sum of its proper divisors (33705438080).

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

22892126080 is a wasteful number, since it uses less digits than its factorization.

22892126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 22892126080 in words is "twenty-two billion, eight hundred ninety-two million, one hundred twenty-six thousand, eighty".