22015853806800 has 240 divisors, whose sum is σ = 80612638889472. Its totient is φ = 5031343142400.

The previous prime is 22015853806781. The next prime is 22015853806811. The reversal of 22015853806800 is 860835851022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22015853806800.

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 47 ways as a sum of consecutive naturals, for example, 50071915 + ... + 50509685.

Almost surely, 2^{22015853806800} is an apocalyptic number.

22015853806800 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 22015853806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40306319444736).

22015853806800 is an abundant number, since it is smaller than the sum of its proper divisors (58596785082672).

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

22015853806800 is a wasteful number, since it uses less digits than its factorization.

22015853806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443786 (or 443775 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 22015853806800 in words is "twenty-two trillion, fifteen billion, eight hundred fifty-three million, eight hundred six thousand, eight hundred".