11661165006500 has 96 divisors (see below), whose sum is σ = 25700561542656. Its totient is φ = 4621892620800.

The previous prime is 11661165006499. The next prime is 11661165006523. The reversal of 11661165006500 is 560056116611.

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, 215972507 + ... + 216026493.

It is an arithmetic number, because the mean of its divisors is an integer number (267714182736).

Almost surely, 2^{11661165006500} is an apocalyptic number.

11661165006500 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 11661165006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850280771328).

11661165006500 is an abundant number, since it is smaller than the sum of its proper divisors (14039396536156).

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

11661165006500 is a wasteful number, since it uses less digits than its factorization.

11661165006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57942 (or 57930 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 11661165006500 in words is "eleven trillion, six hundred sixty-one billion, one hundred sixty-five million, six thousand, five hundred".