10920365568 has 240 divisors, whose sum is σ = 37356359040. Its totient is φ = 3119855616.

The previous prime is 10920365563. The next prime is 10920365581. The reversal of 10920365568 is 86556302901.

10920365568 is a `hidden beast` number, since 1 + 0 + 9 + 20 + 3 + 65 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920365563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864643 + ... + 877181.

It is an arithmetic number, because the mean of its divisors is an integer number (155651496).

Almost surely, 2^10920365568 is an apocalyptic number.

10920365568 is a gapful number since it is divisible by the number (18) 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 10920365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678179520).

10920365568 is an abundant number, since it is smaller than the sum of its proper divisors (26435993472).

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

10920365568 is an frugal number, since it uses more digits than its factorization.

10920365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10920365568 in words is "ten billion, nine hundred twenty million, three hundred sixty-five thousand, five hundred sixty-eight".