22101892828800 has 768 divisors, whose sum is σ = 77502289536000. Its totient is φ = 5526798336000.

The previous prime is 22101892828753. The next prime is 22101892828819. The reversal of 22101892828800 is 882829810122.

It is a super-2 number, since 2×22101892828800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1818032322 + ... + 1818044478.

It is an arithmetic number, because the mean of its divisors is an integer number (100914439500).

Almost surely, 2^{22101892828800} is an apocalyptic number.

22101892828800 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 22101892828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38751144768000).

22101892828800 is an abundant number, since it is smaller than the sum of its proper divisors (55400396707200).

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

22101892828800 is a wasteful number, since it uses less digits than its factorization.

22101892828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The spelling of 22101892828800 in words is "twenty-two trillion, one hundred one billion, eight hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".