22878028800 has 1320 divisors, whose sum is σ = 99510729120. Its totient is φ = 5131468800.

The previous prime is 22878028787. The next prime is 22878028883. The reversal of 22878028800 is 882087822.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 387763171 + ... + 387763229.

It is an arithmetic number, because the mean of its divisors is an integer number (75386916).

Almost surely, 2^22878028800 is an apocalyptic number.

22878028800 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 22878028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49755364560).

22878028800 is an abundant number, since it is smaller than the sum of its proper divisors (76632700320).

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

22878028800 is a wasteful number, since it uses less digits than its factorization.

22878028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 22878028800 in words is "twenty-two billion, eight hundred seventy-eight million, twenty-eight thousand, eight hundred".