116762283768000 has 896 divisors, whose sum is σ = 426390858915840. Its totient is φ = 27977564160000.

The previous prime is 116762283767911. The next prime is 116762283768029. The reversal of 116762283768000 is 867382267611.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1749974640 + ... + 1750041360.

It is an arithmetic number, because the mean of its divisors is an integer number (475882655040).

Almost surely, 2^{116762283768000} is an apocalyptic number.

116762283768000 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 116762283768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213195429457920).

116762283768000 is an abundant number, since it is smaller than the sum of its proper divisors (309628575147840).

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

116762283768000 is a wasteful number, since it uses less digits than its factorization.

116762283768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66914 (or 66894 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 116762283768000 in words is "one hundred sixteen trillion, seven hundred sixty-two billion, two hundred eighty-three million, seven hundred sixty-eight thousand".