22206057793920 has 6144 divisors, whose sum is σ = 116194864435200. Its totient is φ = 3875568353280.

The previous prime is 22206057793897. The next prime is 22206057793991. The reversal of 22206057793920 is 2939775060222.

22206057793920 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 60 + 577 + 9 + 3 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 141439858482 + ... + 141439858638.

It is an arithmetic number, because the mean of its divisors is an integer number (18911924550).

Almost surely, 2^{22206057793920} is an apocalyptic number.

22206057793920 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 22206057793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58097432217600).

22206057793920 is an abundant number, since it is smaller than the sum of its proper divisors (93988806641280).

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

22206057793920 is a wasteful number, since it uses less digits than its factorization.

22206057793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 22206057793920 in words is "twenty-two trillion, two hundred six billion, fifty-seven million, seven hundred ninety-three thousand, nine hundred twenty".