11661165006660 has 72 divisors (see below), whose sum is σ = 38093139029400. Its totient is φ = 2870440616448.

The previous prime is 11661165006649. The next prime is 11661165006677. The reversal of 11661165006660 is 6660056116611.

It can be written as a sum of positive squares in 4 ways, for example, as 114774598656 + 11546390408004 = 338784^2 + 3397998^2 .

It is a super-3 number, since 3×11661165006660³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2491699585 + ... + 2491704264.

Almost surely, 2^{11661165006660} is an apocalyptic number.

11661165006660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11661165006660 is an abundant number, since it is smaller than the sum of its proper divisors (26431974022740).

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

11661165006660 is a wasteful number, since it uses less digits than its factorization.

11661165006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983403877 (or 4983403872 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11661165006660 in words is "eleven trillion, six hundred sixty-one billion, one hundred sixty-five million, six thousand, six hundred sixty".