22681505790 has 192 divisors, whose sum is σ = 63076575744. Its totient is φ = 5859900288.

The previous prime is 22681505789. The next prime is 22681505801. The reversal of 22681505790 is 9750518622.

22681505790 is a `hidden beast` number, since 2 + 2 + 68 + 15 + 0 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31198407 + ... + 31199133.

It is an arithmetic number, because the mean of its divisors is an integer number (328523832).

Almost surely, 2^22681505790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22681505790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31538287872).

22681505790 is an abundant number, since it is smaller than the sum of its proper divisors (40395069954).

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

22681505790 is a wasteful number, since it uses less digits than its factorization.

22681505790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 22681505790 in words is "twenty-two billion, six hundred eighty-one million, five hundred five thousand, seven hundred ninety".