1166791132800 has 288 divisors, whose sum is σ = 4317580219680. Its totient is φ = 311144094720.

The previous prime is 1166791132781. The next prime is 1166791132967. The reversal of 1166791132800 is 82311976611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1166791132800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27349 + ... + 1527851.

It is an arithmetic number, because the mean of its divisors is an integer number (14991597985).

Almost surely, 2^{1166791132800} is an apocalyptic number.

1166791132800 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 1166791132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158790109840).

1166791132800 is an abundant number, since it is smaller than the sum of its proper divisors (3150789086880).

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

1166791132800 is an equidigital number, since it uses as much as digits as its factorization.

1166791132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500542 (or 1500513 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 11667911 and 32800, that added together give a palindrome (11700711).

The spelling of 1166791132800 in words is "one trillion, one hundred sixty-six billion, seven hundred ninety-one million, one hundred thirty-two thousand, eight hundred".