1166529870240 has 384 divisors, whose sum is σ = 4461873776640. Its totient is φ = 250239725568.

The previous prime is 1166529870223. The next prime is 1166529870241. The reversal of 1166529870240 is 420789256611.

It is not an unprimeable number, because it can be changed into a prime (1166529870241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6745494 + ... + 6916266.

It is an arithmetic number, because the mean of its divisors is an integer number (11619462960).

Almost surely, 2^{1166529870240} is an apocalyptic number.

1166529870240 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 1166529870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230936888320).

1166529870240 is an abundant number, since it is smaller than the sum of its proper divisors (3295343906400).

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

1166529870240 is a wasteful number, since it uses less digits than its factorization.

1166529870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170924 (or 170916 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1166529870240 in words is "one trillion, one hundred sixty-six billion, five hundred twenty-nine million, eight hundred seventy thousand, two hundred forty".