22124485393920 has 3840 divisors, whose sum is σ = 105799478400000. Its totient is φ = 4330202333184.

The previous prime is 22124485393909. The next prime is 22124485393951. The reversal of 22124485393920 is 2939358442122.

22124485393920 is a `hidden beast` number, since 2 + 2 + 1 + 244 + 8 + 5 + 3 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 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, 44337645831 + ... + 44337646329.

It is an arithmetic number, because the mean of its divisors is an integer number (27551947500).

Almost surely, 2^{22124485393920} is an apocalyptic number.

22124485393920 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 22124485393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52899739200000).

22124485393920 is an abundant number, since it is smaller than the sum of its proper divisors (83674993006080).

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

22124485393920 is a wasteful number, since it uses less digits than its factorization.

22124485393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 22124485393920 in words is "twenty-two trillion, one hundred twenty-four billion, four hundred eighty-five million, three hundred ninety-three thousand, nine hundred twenty".