22116378240 has 512 divisors, whose sum is σ = 85954176000. Its totient is φ = 5329981440.

The previous prime is 22116378223. The next prime is 22116378247. The reversal of 22116378240 is 4287361122.

It is a happy number.

22116378240 is a `hidden beast` number, since 2 + 2 + 11 + 637 + 8 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22116378195 and 22116378204.

It is not an unprimeable number, because it can be changed into a prime (22116378247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58354371 + ... + 58354749.

It is an arithmetic number, because the mean of its divisors is an integer number (167879250).

Almost surely, 2^22116378240 is an apocalyptic number.

22116378240 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 22116378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977088000).

22116378240 is an abundant number, since it is smaller than the sum of its proper divisors (63837797760).

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

22116378240 is a wasteful number, since it uses less digits than its factorization.

22116378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22116378240 in words is "twenty-two billion, one hundred sixteen million, three hundred seventy-eight thousand, two hundred forty".