22053831266880 has 448 divisors, whose sum is σ = 90730059840000. Its totient is φ = 5040875040768.

The previous prime is 22053831266837. The next prime is 22053831266893. The reversal of 22053831266880 is 8866213835022.

It is a happy number.

22053831266880 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 383 + 126 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 757365 + ... + 6684404.

It is an arithmetic number, because the mean of its divisors is an integer number (202522455000).

Almost surely, 2^{22053831266880} is an apocalyptic number.

22053831266880 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 22053831266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45365029920000).

22053831266880 is an abundant number, since it is smaller than the sum of its proper divisors (68676228573120).

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

22053831266880 is an equidigital number, since it uses as much as digits as its factorization.

22053831266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441816 (or 7441786 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 22053831266880 in words is "twenty-two trillion, fifty-three billion, eight hundred thirty-one million, two hundred sixty-six thousand, eight hundred eighty".