22929460800 has 168 divisors, whose sum is σ = 76461957312. Its totient is φ = 6014208000.

The previous prime is 22929460759. The next prime is 22929460847. The reversal of 22929460800 is 806492922.

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 23 ways as a sum of consecutive naturals, for example, 253645 + ... + 331955.

Almost surely, 2^22929460800 is an apocalyptic number.

22929460800 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 22929460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38230978656).

22929460800 is an abundant number, since it is smaller than the sum of its proper divisors (53532496512).

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

22929460800 is a wasteful number, since it uses less digits than its factorization.

22929460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78397 (or 78382 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 22929460800 in words is "twenty-two billion, nine hundred twenty-nine million, four hundred sixty thousand, eight hundred".