95865762816 has 396 divisors, whose sum is σ = 302973686080. Its totient is φ = 30233088000.

The previous prime is 95865762793. The next prime is 95865762829. The reversal of 95865762816 is 61826756859.

95865762816 is a `hidden beast` number, since 9 + 58 + 6 + 576 + 2 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127650441 + ... + 127651191.

Almost surely, 2^95865762816 is an apocalyptic number.

95865762816 is a gapful number since it is divisible by the number (96) 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 95865762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151486843040).

95865762816 is an abundant number, since it is smaller than the sum of its proper divisors (207107923264).

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

95865762816 is an frugal number, since it uses more digits than its factorization.

95865762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 775 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 95865762816 in words is "ninety-five billion, eight hundred sixty-five million, seven hundred sixty-two thousand, eight hundred sixteen".