11261566160 has 160 divisors (see below), whose sum is σ = 28699913088. Its totient is φ = 4084623360.

The previous prime is 11261566157. The next prime is 11261566213. The reversal of 11261566160 is 6166516211.

It is a self number, because there is not a number n which added to its sum of digits gives 11261566160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24428330 + ... + 24428790.

Almost surely, 2^11261566160 is an apocalyptic number.

11261566160 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 11261566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349956544).

11261566160 is an abundant number, since it is smaller than the sum of its proper divisors (17438346928).

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

11261566160 is a wasteful number, since it uses less digits than its factorization.

11261566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 11261566160 in words is "eleven billion, two hundred sixty-one million, five hundred sixty-six thousand, one hundred sixty".