20422172584800 has 1152 divisors, whose sum is σ = 89490352250880. Its totient is φ = 4395219148800.

The previous prime is 20422172584799. The next prime is 20422172584817. The reversal of 20422172584800 is 848527122402.

20422172584800 is a `hidden beast` number, since 2 + 0 + 42 + 21 + 7 + 2 + 584 + 8 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173367522 + ... + 173485278.

It is an arithmetic number, because the mean of its divisors is an integer number (77682597440).

Almost surely, 2^{20422172584800} is an apocalyptic number.

20422172584800 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 20422172584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44745176125440).

20422172584800 is an abundant number, since it is smaller than the sum of its proper divisors (69068179666080).

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

20422172584800 is a wasteful number, since it uses less digits than its factorization.

20422172584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117861 (or 117842 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 20422172584800 in words is "twenty trillion, four hundred twenty-two billion, one hundred seventy-two million, five hundred eighty-four thousand, eight hundred".