22790583779040 has 960 divisors, whose sum is σ = 101252603612160. Its totient is φ = 4689706844160.

The previous prime is 22790583779027. The next prime is 22790583779057. The reversal of 22790583779040 is 4097738509722.

22790583779040 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 0 + 583 + 7 + 7 + 9 + 0 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 102674896 + ... + 102896624.

It is an arithmetic number, because the mean of its divisors is an integer number (105471462096).

Almost surely, 2^{22790583779040} is an apocalyptic number.

22790583779040 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 22790583779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50626301806080).

22790583779040 is an abundant number, since it is smaller than the sum of its proper divisors (78462019833120).

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

22790583779040 is a wasteful number, since it uses less digits than its factorization.

22790583779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221877 (or 221860 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 22790583779040 in words is "twenty-two trillion, seven hundred ninety billion, five hundred eighty-three million, seven hundred seventy-nine thousand, forty".