1166418247680 has 1440 divisors, whose sum is σ = 4957346427264. Its totient is φ = 256842399744.

The previous prime is 1166418247667. The next prime is 1166418247727. The reversal of 1166418247680 is 867428146611.

1166418247680 is a `hidden beast` number, since 1 + 1 + 66 + 418 + 24 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15978332124 + ... + 15978332196.

Almost surely, 2^{1166418247680} is an apocalyptic number.

1166418247680 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 1166418247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478673213632).

1166418247680 is an abundant number, since it is smaller than the sum of its proper divisors (3790928179584).

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

1166418247680 is an frugal number, since it uses more digits than its factorization.

1166418247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1166418247680 in words is "one trillion, one hundred sixty-six billion, four hundred eighteen million, two hundred forty-seven thousand, six hundred eighty".