22260558566400 has 4752 divisors, whose sum is σ = 103448758855680. Its totient is φ = 4189667328000.

The previous prime is 22260558566377. The next prime is 22260558566429. The reversal of 22260558566400 is 466585506222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 268199500759 + ... + 268199500841.

Almost surely, 2^{22260558566400} is an apocalyptic number.

22260558566400 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 22260558566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724379427840).

22260558566400 is an abundant number, since it is smaller than the sum of its proper divisors (81188200289280).

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

22260558566400 is a wasteful number, since it uses less digits than its factorization.

22260558566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 22260558566400 in words is "twenty-two trillion, two hundred sixty billion, five hundred fifty-eight million, five hundred sixty-six thousand, four hundred".