1166864832000 has 960 divisors, whose sum is σ = 5014727340480. Its totient is φ = 266692608000.

The previous prime is 1166864831983. The next prime is 1166864832011. The reversal of 1166864832000 is 2384686611.

1166864832000 is a `hidden beast` number, since 1 + 166 + 8 + 6 + 483 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 84665110 + ... + 84678890.

It is an arithmetic number, because the mean of its divisors is an integer number (5223674313).

Almost surely, 2^{1166864832000} is an apocalyptic number.

1166864832000 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 1166864832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507363670240).

1166864832000 is an abundant number, since it is smaller than the sum of its proper divisors (3847862508480).

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

1166864832000 is an equidigital number, since it uses as much as digits as its factorization.

1166864832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13837 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1166864832000 in words is "one trillion, one hundred sixty-six billion, eight hundred sixty-four million, eight hundred thirty-two thousand".