22853219760 has 720 divisors, whose sum is σ = 95177122560. Its totient is φ = 4885816320.

The previous prime is 22853219759. The next prime is 22853219771. The reversal of 22853219760 is 6791235822.

22853219760 is a `hidden beast` number, since 2 + 28 + 532 + 1 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 69042795 + ... + 69043125.

It is an arithmetic number, because the mean of its divisors is an integer number (132190448).

Almost surely, 2^22853219760 is an apocalyptic number.

22853219760 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 22853219760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47588561280).

22853219760 is an abundant number, since it is smaller than the sum of its proper divisors (72323902800).

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

22853219760 is a wasteful number, since it uses less digits than its factorization.

22853219760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22853219760 in words is "twenty-two billion, eight hundred fifty-three million, two hundred nineteen thousand, seven hundred sixty".