11661117516 has 36 divisors (see below), whose sum is σ = 29480009832. Its totient is φ = 3886604544.

The previous prime is 11661117487. The next prime is 11661117539. The reversal of 11661117516 is 61571116611.

It is a happy number.

11661117516 is a `hidden beast` number, since 1 + 16 + 611 + 17 + 5 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569431 + ... + 589553.

It is an arithmetic number, because the mean of its divisors is an integer number (818889162).

Almost surely, 2^11661117516 is an apocalyptic number.

It is an amenable number.

11661117516 is an abundant number, since it is smaller than the sum of its proper divisors (17818892316).

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

11661117516 is a wasteful number, since it uses less digits than its factorization.

11661117516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36230 (or 36225 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The spelling of 11661117516 in words is "eleven billion, six hundred sixty-one million, one hundred seventeen thousand, five hundred sixteen".