22224857760 has 576 divisors, whose sum is σ = 90735869952. Its totient is φ = 5032129536.

The previous prime is 22224857729. The next prime is 22224857771. The reversal of 22224857760 is 6775842222.

22224857760 is a `hidden beast` number, since 22 + 22 + 485 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34563999 + ... + 34564641.

It is an arithmetic number, because the mean of its divisors is an integer number (157527552).

Almost surely, 2^22224857760 is an apocalyptic number.

22224857760 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 22224857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45367934976).

22224857760 is an abundant number, since it is smaller than the sum of its proper divisors (68511012192).

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

22224857760 is a wasteful number, since it uses less digits than its factorization.

22224857760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 22224857760 in words is "twenty-two billion, two hundred twenty-four million, eight hundred fifty-seven thousand, seven hundred sixty".