11669630285160 has 512 divisors, whose sum is σ = 41213878272000. Its totient is φ = 2928877056000.

The previous prime is 11669630285143. The next prime is 11669630285177. The reversal of 11669630285160 is 6158203696611.

11669630285160 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 96 + 30 + 2 + 8 + 516 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11669630285143) and next prime (11669630285177).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11669630285097 and 11669630285106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4166235760 + ... + 4166238560.

It is an arithmetic number, because the mean of its divisors is an integer number (80495856000).

Almost surely, 2^{11669630285160} is an apocalyptic number.

11669630285160 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 11669630285160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606939136000).

11669630285160 is an abundant number, since it is smaller than the sum of its proper divisors (29544247986840).

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

11669630285160 is a wasteful number, since it uses less digits than its factorization.

11669630285160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 11669630285160 in words is "eleven trillion, six hundred sixty-nine billion, six hundred thirty million, two hundred eighty-five thousand, one hundred sixty".