22868982720 has 672 divisors, whose sum is σ = 86272542720. Its totient is φ = 5757972480.

The previous prime is 22868982713. The next prime is 22868982737. The reversal of 22868982720 is 2728986822.

22868982720 is a `hidden beast` number, since 2 + 286 + 8 + 98 + 272 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 127759591 + ... + 127759769.

It is an arithmetic number, because the mean of its divisors is an integer number (128381760).

Almost surely, 2^22868982720 is an apocalyptic number.

22868982720 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 22868982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43136271360).

22868982720 is an abundant number, since it is smaller than the sum of its proper divisors (63403560000).

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

22868982720 is a wasteful number, since it uses less digits than its factorization.

22868982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 22868982720 in words is "twenty-two billion, eight hundred sixty-eight million, nine hundred eighty-two thousand, seven hundred twenty".