22756088977776 has 1200 divisors, whose sum is σ = 84802670656704. Its totient is φ = 5764442112000.

The previous prime is 22756088977771. The next prime is 22756088977793. The reversal of 22756088977776 is 67777988065722.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 22756088977695 and 22756088977704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22756088977771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10530350136 + ... + 10530352296.

Almost surely, 2^{22756088977776} 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 22756088977776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42401335328352).

22756088977776 is an abundant number, since it is smaller than the sum of its proper divisors (62046581678928).

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

22756088977776 is a wasteful number, since it uses less digits than its factorization.

22756088977776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 6970199040, while the sum is 81.

The spelling of 22756088977776 in words is "twenty-two trillion, seven hundred fifty-six billion, eighty-eight million, nine hundred seventy-seven thousand, seven hundred seventy-six".