22050135116800 has 264 divisors, whose sum is σ = 65753554519040. Its totient is φ = 7162148044800.

The previous prime is 22050135116777. The next prime is 22050135116813. The reversal of 22050135116800 is 861153105022.

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 23 ways as a sum of consecutive naturals, for example, 166705 + ... + 6642895.

Almost surely, 2^{22050135116800} is an apocalyptic number.

22050135116800 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 22050135116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32876777259520).

22050135116800 is an abundant number, since it is smaller than the sum of its proper divisors (43703419402240).

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

22050135116800 is a wasteful number, since it uses less digits than its factorization.

22050135116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476247 (or 6476224 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 22050135116800 in words is "twenty-two trillion, fifty billion, one hundred thirty-five million, one hundred sixteen thousand, eight hundred".