22240680688800 has 720 divisors, whose sum is σ = 92786934506112. Its totient is φ = 5078499379200.

The previous prime is 22240680688799. The next prime is 22240680688813. The reversal of 22240680688800 is 888608604222.

It is a happy number.

22240680688800 is a `hidden beast` number, since 2 + 2 + 2 + 406 + 80 + 6 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22240680688800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 463101589 + ... + 463149611.

Almost surely, 2^{22240680688800} is an apocalyptic number.

22240680688800 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 22240680688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46393467253056).

22240680688800 is an abundant number, since it is smaller than the sum of its proper divisors (70546253817312).

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

22240680688800 is a wasteful number, since it uses less digits than its factorization.

22240680688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49083 (or 49061 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 22240680688800 in words is "twenty-two trillion, two hundred forty billion, six hundred eighty million, six hundred eighty-eight thousand, eight hundred".