22716800128 has 128 divisors (see below), whose sum is σ = 50409216000. Its totient is φ = 10110796800.

The previous prime is 22716800107. The next prime is 22716800143. The reversal of 22716800128 is 82100861722.

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

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 15 ways as a sum of consecutive naturals, for example, 14570613 + ... + 14572171.

It is an arithmetic number, because the mean of its divisors is an integer number (393822000).

Almost surely, 2^22716800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22716800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25204608000).

22716800128 is an abundant number, since it is smaller than the sum of its proper divisors (27692415872).

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

22716800128 is a wasteful number, since it uses less digits than its factorization.

22716800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 22716800128 in words is "twenty-two billion, seven hundred sixteen million, eight hundred thousand, one hundred twenty-eight".