22126340160 has 448 divisors, whose sum is σ = 79807368960. Its totient is φ = 5769953280.

The previous prime is 22126340111. The next prime is 22126340189. The reversal of 22126340160 is 6104362122.

22126340160 is a `hidden beast` number, since 2 + 2 + 12 + 634 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127897834 + ... + 127898006.

Almost surely, 2^22126340160 is an apocalyptic number.

22126340160 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 22126340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39903684480).

22126340160 is an abundant number, since it is smaller than the sum of its proper divisors (57681028800).

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

22126340160 is a wasteful number, since it uses less digits than its factorization.

22126340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22126340160 in words is "twenty-two billion, one hundred twenty-six million, three hundred forty thousand, one hundred sixty".