865916147680 has 192 divisors, whose sum is σ = 2175855187968. Its totient is φ = 324963358720.

The previous prime is 865916147651. The next prime is 865916147713. The reversal of 865916147680 is 86741619568.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51463749 + ... + 51480571.

It is an arithmetic number, because the mean of its divisors is an integer number (11332579104).

Almost surely, 2^865916147680 is an apocalyptic number.

865916147680 is a gapful number since it is divisible by the number (80) 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 865916147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087927593984).

865916147680 is an abundant number, since it is smaller than the sum of its proper divisors (1309939040288).

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

865916147680 is a wasteful number, since it uses less digits than its factorization.

865916147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17129 (or 17121 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 865916147680 in words is "eight hundred sixty-five billion, nine hundred sixteen million, one hundred forty-seven thousand, six hundred eighty".