22072828800 has 384 divisors, whose sum is σ = 81172840320. Its totient is φ = 5225472000.

The previous prime is 22072828787. The next prime is 22072828831. The reversal of 22072828800 is 882827022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4538370 + ... + 4543230.

It is an arithmetic number, because the mean of its divisors is an integer number (211387605).

Almost surely, 2^22072828800 is an apocalyptic number.

22072828800 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 22072828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40586420160).

22072828800 is an abundant number, since it is smaller than the sum of its proper divisors (59100011520).

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

22072828800 is a wasteful number, since it uses less digits than its factorization.

22072828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 22072828800 in words is "twenty-two billion, seventy-two million, eight hundred twenty-eight thousand, eight hundred".