1166704552320 has 512 divisors, whose sum is σ = 3936995020800. Its totient is φ = 293462507520.

The previous prime is 1166704552319. The next prime is 1166704552331. The reversal of 1166704552320 is 232554076611.

It is a super-2 number, since 2×1166704552320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514192146 + ... + 514194414.

It is an arithmetic number, because the mean of its divisors is an integer number (7689443400).

Almost surely, 2^{1166704552320} is an apocalyptic number.

1166704552320 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 1166704552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968497510400).

1166704552320 is an abundant number, since it is smaller than the sum of its proper divisors (2770290468480).

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

1166704552320 is a wasteful number, since it uses less digits than its factorization.

1166704552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 1166704552320 in words is "one trillion, one hundred sixty-six billion, seven hundred four million, five hundred fifty-two thousand, three hundred twenty".