116569085202240 has 1792 divisors, whose sum is σ = 430365786439680. Its totient is φ = 26696355840000.

The previous prime is 116569085202133. The next prime is 116569085202259. The reversal of 116569085202240 is 42202580965611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 509035306446 + ... + 509035306674.

It is an arithmetic number, because the mean of its divisors is an integer number (240159479040).

Almost surely, 2^{116569085202240} is an apocalyptic number.

116569085202240 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 116569085202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215182893219840).

116569085202240 is an abundant number, since it is smaller than the sum of its proper divisors (313796701237440).

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

116569085202240 is a wasteful number, since it uses less digits than its factorization.

116569085202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 116569085202240 in words is "one hundred sixteen trillion, five hundred sixty-nine billion, eighty-five million, two hundred two thousand, two hundred forty".