95986304563968 has 1008 divisors, whose sum is σ = 356807548229440. Its totient is φ = 25082337263616.

The previous prime is 95986304563909. The next prime is 95986304563987. The reversal of 95986304563968 is 86936540368959.

It is a happy number.

95986304563968 is a `hidden beast` number, since 9 + 59 + 86 + 3 + 0 + 456 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1851097530 + ... + 1851149382.

Almost surely, 2^{95986304563968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95986304563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178403774114720).

95986304563968 is an abundant number, since it is smaller than the sum of its proper divisors (260821243665472).

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

95986304563968 is a wasteful number, since it uses less digits than its factorization.

95986304563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52016 (or 51987 counting only the distinct ones).

The product of its (nonzero) digits is 9069926400, while the sum is 81.

The spelling of 95986304563968 in words is "ninety-five trillion, nine hundred eighty-six billion, three hundred four million, five hundred sixty-three thousand, nine hundred sixty-eight".