11065766160 has 80 divisors (see below), whose sum is σ = 34421171904. Its totient is φ = 2940781056.

The previous prime is 11065766143. The next prime is 11065766177. The reversal of 11065766160 is 6166756011.

It is an interprime number because it is at equal distance from previous prime (11065766143) and next prime (11065766177).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11065766160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8362 + ... + 149001.

Almost surely, 2^11065766160 is an apocalyptic number.

11065766160 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 11065766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210585952).

11065766160 is an abundant number, since it is smaller than the sum of its proper divisors (23355405744).

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

11065766160 is a wasteful number, since it uses less digits than its factorization.

11065766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157672 (or 157666 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11065766160 in words is "eleven billion, sixty-five million, seven hundred sixty-six thousand, one hundred sixty".