22881380400 has 180 divisors, whose sum is σ = 79690848120. Its totient is φ = 6079718400.

The previous prime is 22881380377. The next prime is 22881380479. The reversal of 22881380400 is 408318822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1000291 + ... + 1022909.

It is an arithmetic number, because the mean of its divisors is an integer number (442726934).

Almost surely, 2^22881380400 is an apocalyptic number.

22881380400 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 22881380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39845424060).

22881380400 is an abundant number, since it is smaller than the sum of its proper divisors (56809467720).

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

22881380400 is a wasteful number, since it uses less digits than its factorization.

22881380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22924 (or 22910 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 22881380400 in words is "twenty-two billion, eight hundred eighty-one million, three hundred eighty thousand, four hundred".