22678826880 has 256 divisors, whose sum is σ = 77157826560. Its totient is φ = 5646090240.

The previous prime is 22678826869. The next prime is 22678826909. The reversal of 22678826880 is 8862887622.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22678826880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4142545 + ... + 4148015.

It is an arithmetic number, because the mean of its divisors is an integer number (301397760).

Almost surely, 2^22678826880 is an apocalyptic number.

22678826880 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 22678826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38578913280).

22678826880 is an abundant number, since it is smaller than the sum of its proper divisors (54478999680).

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

22678826880 is a wasteful number, since it uses less digits than its factorization.

22678826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 22678826880 in words is "twenty-two billion, six hundred seventy-eight million, eight hundred twenty-six thousand, eight hundred eighty".