22781785807872 has 1760 divisors, whose sum is σ = 86285432217600. Its totient is φ = 5827526000640.

The previous prime is 22781785807843. The next prime is 22781785807877. The reversal of 22781785807872 is 27870858718722.

It is a happy number.

22781785807872 is a `hidden beast` number, since 2 + 27 + 8 + 17 + 8 + 580 + 7 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 22781785807872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22781785807877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52857971497 + ... + 52857971927.

It is an arithmetic number, because the mean of its divisors is an integer number (49025813760).

Almost surely, 2^{22781785807872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22781785807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43142716108800).

22781785807872 is an abundant number, since it is smaller than the sum of its proper divisors (63503646409728).

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

22781785807872 is a wasteful number, since it uses less digits than its factorization.

22781785807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 393379840, while the sum is 72.

The spelling of 22781785807872 in words is "twenty-two trillion, seven hundred eighty-one billion, seven hundred eighty-five million, eight hundred seven thousand, eight hundred seventy-two".