765866138112 has 240 divisors, whose sum is σ = 2344273671168. Its totient is φ = 240184074240.

The previous prime is 765866138041. The next prime is 765866138137. The reversal of 765866138112 is 211831668567.

It is a happy number.

765866138112 is a `hidden beast` number, since 7 + 6 + 5 + 8 + 6 + 613 + 8 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6405793 + ... + 6524255.

Almost surely, 2^765866138112 is an apocalyptic number.

765866138112 is a gapful number since it is divisible by the number (72) 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 765866138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172136835584).

765866138112 is an abundant number, since it is smaller than the sum of its proper divisors (1578407533056).

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

765866138112 is a wasteful number, since it uses less digits than its factorization.

765866138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118571 (or 118552 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 765866138112 in words is "seven hundred sixty-five billion, eight hundred sixty-six million, one hundred thirty-eight thousand, one hundred twelve".