22881325360800 has 576 divisors, whose sum is σ = 76672176666624. Its totient is φ = 5923818700800.

The previous prime is 22881325360799. The next prime is 22881325360823. The reversal of 22881325360800 is 806352318822.

It is a super-3 number, since 3×22881325360800³ (a number of 41 digits) contains 333 as substring.

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 22881325360800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24161905927 + ... + 24161906873.

It is an arithmetic number, because the mean of its divisors is an integer number (133111417824).

Almost surely, 2^{22881325360800} is an apocalyptic number.

22881325360800 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 22881325360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38336088333312).

22881325360800 is an abundant number, since it is smaller than the sum of its proper divisors (53790851305824).

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

22881325360800 is a wasteful number, since it uses less digits than its factorization.

22881325360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 22881325360800 in words is "twenty-two trillion, eight hundred eighty-one billion, three hundred twenty-five million, three hundred sixty thousand, eight hundred".