11145765960 has 384 divisors, whose sum is σ = 43641262080. Its totient is φ = 2411887104.

The previous prime is 11145765901. The next prime is 11145766007. The reversal of 11145765960 is 6956754111.

11145765960 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 57 + 6 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5968947 + ... + 5970813.

It is an arithmetic number, because the mean of its divisors is an integer number (113649120).

Almost surely, 2^11145765960 is an apocalyptic number.

11145765960 is a gapful number since it is divisible by the number (10) 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 11145765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21820631040).

11145765960 is an abundant number, since it is smaller than the sum of its proper divisors (32495496120).

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

11145765960 is a wasteful number, since it uses less digits than its factorization.

11145765960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11145765960 in words is "eleven billion, one hundred forty-five million, seven hundred sixty-five thousand, nine hundred sixty".