22086761172000 has 2304 divisors, whose sum is σ = 91586184109056. Its totient is φ = 4626800640000.

The previous prime is 22086761171941. The next prime is 22086761172031. The reversal of 22086761172000 is 27116768022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 33823523674 + ... + 33823524326.

It is an arithmetic number, because the mean of its divisors is an integer number (39750947964).

Almost surely, 2^{22086761172000} is an apocalyptic number.

22086761172000 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 22086761172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45793092054528).

22086761172000 is an abundant number, since it is smaller than the sum of its proper divisors (69499422937056).

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

22086761172000 is a wasteful number, since it uses less digits than its factorization.

22086761172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 22086761172000 in words is "twenty-two trillion, eighty-six billion, seven hundred sixty-one million, one hundred seventy-two thousand".