22260758256000 has 2560 divisors, whose sum is σ = 98612524707840. Its totient is φ = 4913602560000.

The previous prime is 22260758255977. The next prime is 22260758256019. The reversal of 22260758256000 is 65285706222.

22260758256000 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 0 + 7 + 5 + 82 + 560 + 0 + 0 = 666.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7512910519 + ... + 7512913481.

It is an arithmetic number, because the mean of its divisors is an integer number (38520517464).

Almost surely, 2^{22260758256000} is an apocalyptic number.

22260758256000 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 22260758256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49306262353920).

22260758256000 is an abundant number, since it is smaller than the sum of its proper divisors (76351766451840).

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

22260758256000 is a wasteful number, since it uses less digits than its factorization.

22260758256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 22260758256000 in words is "twenty-two trillion, two hundred sixty billion, seven hundred fifty-eight million, two hundred fifty-six thousand".