22126260000 has 480 divisors, whose sum is σ = 82330395840. Its totient is φ = 5156352000.

The previous prime is 22126259993. The next prime is 22126260001. The reversal of 22126260000 is 6262122.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (22126260001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14819254 + ... + 14820746.

It is an arithmetic number, because the mean of its divisors is an integer number (171521658).

Almost surely, 2^22126260000 is an apocalyptic number.

22126260000 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 22126260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41165197920).

22126260000 is an abundant number, since it is smaller than the sum of its proper divisors (60204135840).

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

22126260000 is a wasteful number, since it uses less digits than its factorization.

22126260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 22126260000 in words is "twenty-two billion, one hundred twenty-six million, two hundred sixty thousand".