22253045760 has 672 divisors, whose sum is σ = 87654752640. Its totient is φ = 5374771200.

The previous prime is 22253045743. The next prime is 22253045761. The reversal of 22253045760 is 6754035222.

22253045760 is a `hidden beast` number, since 2 + 22 + 530 + 45 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22253045761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82114425 + ... + 82114695.

It is an arithmetic number, because the mean of its divisors is an integer number (130438620).

Almost surely, 2^22253045760 is an apocalyptic number.

22253045760 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 22253045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43827376320).

22253045760 is an abundant number, since it is smaller than the sum of its proper divisors (65401706880).

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

22253045760 is an equidigital number, since it uses as much as digits as its factorization.

22253045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 22253045760 in words is "twenty-two billion, two hundred fifty-three million, forty-five thousand, seven hundred sixty".