22460800800 has 72 divisors (see below), whose sum is σ = 73109914416. Its totient is φ = 5989546240.

The previous prime is 22460800799. The next prime is 22460800807. The reversal of 22460800800 is 800806422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22460800807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4676934 + ... + 4681733.

It is an arithmetic number, because the mean of its divisors is an integer number (1015415478).

Almost surely, 2^22460800800 is an apocalyptic number.

22460800800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22460800800 is an abundant number, since it is smaller than the sum of its proper divisors (50649113616).

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

22460800800 is a wasteful number, since it uses less digits than its factorization.

22460800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358690 (or 9358677 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 22460800800 in words is "twenty-two billion, four hundred sixty million, eight hundred thousand, eight hundred".