22855361760 has 960 divisors, whose sum is σ = 103448378880. Its totient is φ = 4613345280.

The previous prime is 22855361759. The next prime is 22855361779. The reversal of 22855361760 is 6716355822.

22855361760 is a `hidden beast` number, since 2 + 28 + 5 + 5 + 3 + 617 + 6 + 0 = 666.

It is a super-2 number, since 2×22855361760² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 159 ways as a sum of consecutive naturals, for example, 36922731 + ... + 36923349.

It is an arithmetic number, because the mean of its divisors is an integer number (107758728).

Almost surely, 2^22855361760 is an apocalyptic number.

22855361760 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 22855361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724189440).

22855361760 is an abundant number, since it is smaller than the sum of its proper divisors (80593017120).

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

22855361760 is a wasteful number, since it uses less digits than its factorization.

22855361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22855361760 in words is "twenty-two billion, eight hundred fifty-five million, three hundred sixty-one thousand, seven hundred sixty".