1166500857600 has 972 divisors, whose sum is σ = 4578844471656. Its totient is φ = 281608519680.

The previous prime is 1166500857583. The next prime is 1166500857623. The reversal of 1166500857600 is 67580056611.

1166500857600 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 500 + 85 + 7 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8514604732 + ... + 8514604868.

Almost surely, 2^{1166500857600} is an apocalyptic number.

1166500857600 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 1166500857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289422235828).

1166500857600 is an abundant number, since it is smaller than the sum of its proper divisors (3412343614056).

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

1166500857600 is a wasteful number, since it uses less digits than its factorization.

1166500857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1166500857600 in words is "one trillion, one hundred sixty-six billion, five hundred million, eight hundred fifty-seven thousand, six hundred".