1166711040000 has 2160 divisors, whose sum is σ = 4954592522880. Its totient is φ = 273715200000.

The previous prime is 1166711039947. The next prime is 1166711040013. The reversal of 1166711040000 is 401176611.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1166711040000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37635839985 + ... + 37635840015.

Almost surely, 2^{1166711040000} is an apocalyptic number.

1166711040000 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 1166711040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477296261440).

1166711040000 is an abundant number, since it is smaller than the sum of its proper divisors (3787881482880).

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

1166711040000 is an frugal number, since it uses more digits than its factorization.

1166711040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1166711040000 in words is "one trillion, one hundred sixty-six billion, seven hundred eleven million, forty thousand".