22769368560 has 360 divisors, whose sum is σ = 81816918144. Its totient is φ = 5668669440.

The previous prime is 22769368549. The next prime is 22769368577. The reversal of 22769368560 is 6586396722.

22769368560 is a `hidden beast` number, since 2 + 2 + 76 + 9 + 3 + 6 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×22769368560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22769368497 and 22769368506.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18770514 + ... + 18771726.

Almost surely, 2^22769368560 is an apocalyptic number.

22769368560 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 22769368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40908459072).

22769368560 is an abundant number, since it is smaller than the sum of its proper divisors (59047549584).

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

22769368560 is a wasteful number, since it uses less digits than its factorization.

22769368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 22769368560 in words is "twenty-two billion, seven hundred sixty-nine million, three hundred sixty-eight thousand, five hundred sixty".