10772801568 has 144 divisors (see below), whose sum is σ = 32297481216. Its totient is φ = 3401026560.

The previous prime is 10772801549. The next prime is 10772801569. The reversal of 10772801568 is 86510827701.

It is a happy number.

10772801568 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 2 + 80 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10772801569) 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, 406780 + ... + 432452.

It is an arithmetic number, because the mean of its divisors is an integer number (224288064).

Almost surely, 2^10772801568 is an apocalyptic number.

10772801568 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 10772801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148740608).

10772801568 is an abundant number, since it is smaller than the sum of its proper divisors (21524679648).

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

10772801568 is a wasteful number, since it uses less digits than its factorization.

10772801568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25767 (or 25756 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10772801568 in words is "ten billion, seven hundred seventy-two million, eight hundred one thousand, five hundred sixty-eight".