22556610451200 has 1944 divisors, whose sum is σ = 91167959720880. Its totient is φ = 4895686656000.

The previous prime is 22556610451163. The next prime is 22556610451201. The reversal of 22556610451200 is 215401665522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22556610451201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55150636596 + ... + 55150637004.

Almost surely, 2^{22556610451200} is an apocalyptic number.

22556610451200 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 22556610451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45583979860440).

22556610451200 is an abundant number, since it is smaller than the sum of its proper divisors (68611349269680).

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

22556610451200 is a wasteful number, since it uses less digits than its factorization.

22556610451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 22556610451200 in words is "twenty-two trillion, five hundred fifty-six billion, six hundred ten million, four hundred fifty-one thousand, two hundred".