22556205645600 has 288 divisors, whose sum is σ = 80186032140480. Its totient is φ = 5461958656000.

The previous prime is 22556205645583. The next prime is 22556205645643. The reversal of 22556205645600 is 654650265522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22556205645600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22773496 + ... + 23743304.

It is an arithmetic number, because the mean of its divisors is an integer number (278423722710).

Almost surely, 2^{22556205645600} is an apocalyptic number.

22556205645600 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 22556205645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40093016070240).

22556205645600 is an abundant number, since it is smaller than the sum of its proper divisors (57629826494880).

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

22556205645600 is a wasteful number, since it uses less digits than its factorization.

22556205645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970724 (or 970711 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 22556205645600 in words is "twenty-two trillion, five hundred fifty-six billion, two hundred five million, six hundred forty-five thousand, six hundred".