22172680800 has 1152 divisors, whose sum is σ = 92244096000. Its totient is φ = 5173217280.

The previous prime is 22172680799. The next prime is 22172680801. The reversal of 22172680800 is 808627122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22172680799) and next prime (22172680801).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22172680801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 764575186 + ... + 764575214.

It is an arithmetic number, because the mean of its divisors is an integer number (80073000).

Almost surely, 2^22172680800 is an apocalyptic number.

22172680800 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 22172680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122048000).

22172680800 is an abundant number, since it is smaller than the sum of its proper divisors (70071415200).

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

22172680800 is a wasteful number, since it uses less digits than its factorization.

22172680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22172680800 in words is "twenty-two billion, one hundred seventy-two million, six hundred eighty thousand, eight hundred".