11164660776 has 96 divisors (see below), whose sum is σ = 30737210400. Its totient is φ = 3660243840.

The previous prime is 11164660769. The next prime is 11164660789. The reversal of 11164660776 is 67706646111.

11164660776 is a `hidden beast` number, since 1 + 116 + 466 + 0 + 7 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3959095 + ... + 3961913.

It is an arithmetic number, because the mean of its divisors is an integer number (320179275).

Almost surely, 2^11164660776 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 11164660776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15368605200).

11164660776 is an abundant number, since it is smaller than the sum of its proper divisors (19572549624).

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

11164660776 is a wasteful number, since it uses less digits than its factorization.

11164660776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11164660776 in words is "eleven billion, one hundred sixty-four million, six hundred sixty thousand, seven hundred seventy-six".