22126656816000 has 1024 divisors, whose sum is σ = 94139210880000. Its totient is φ = 5048487936000.

The previous prime is 22126656815999. The next prime is 22126656816053. The reversal of 22126656816000 is 61865662122.

22126656816000 is a `hidden beast` number, since 2 + 2 + 1 + 26 + 6 + 568 + 1 + 60 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80647051 + ... + 80920949.

It is an arithmetic number, because the mean of its divisors is an integer number (91932823125).

Almost surely, 2^{22126656816000} is an apocalyptic number.

22126656816000 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 22126656816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47069605440000).

22126656816000 is an abundant number, since it is smaller than the sum of its proper divisors (72012554064000).

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

22126656816000 is a wasteful number, since it uses less digits than its factorization.

22126656816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273965 (or 273937 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22126656816000 in words is "twenty-two trillion, one hundred twenty-six billion, six hundred fifty-six million, eight hundred sixteen thousand".