1166312087556 has 192 divisors, whose sum is σ = 3454278912000. Its totient is φ = 297470177280.

The previous prime is 1166312087543. The next prime is 1166312087587. The reversal of 1166312087556 is 6557802136611.

It is a super-2 number, since 2×1166312087556² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1166312087499 and 1166312087508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50633850 + ... + 50656878.

It is an arithmetic number, because the mean of its divisors is an integer number (17991036000).

Almost surely, 2^{1166312087556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166312087556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727139456000).

1166312087556 is an abundant number, since it is smaller than the sum of its proper divisors (2287966824444).

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

1166312087556 is a wasteful number, since it uses less digits than its factorization.

1166312087556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24042 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1166312087556 in words is "one trillion, one hundred sixty-six billion, three hundred twelve million, eighty-seven thousand, five hundred fifty-six".