95819956992 has 360 divisors, whose sum is σ = 299459899200. Its totient is φ = 30433148928.

The previous prime is 95819956957. The next prime is 95819957017. The reversal of 95819956992 is 29965991859.

95819956992 is a `hidden beast` number, since 9 + 58 + 1 + 9 + 9 + 569 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 95819956992.

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 39 ways as a sum of consecutive naturals, for example, 47505168 + ... + 47507184.

Almost surely, 2^95819956992 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 95819956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149729949600).

95819956992 is an abundant number, since it is smaller than the sum of its proper divisors (203639942208).

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

95819956992 is a wasteful number, since it uses less digits than its factorization.

95819956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2130 counting only the distinct ones).

The product of its digits is 141717600, while the sum is 72.

The spelling of 95819956992 in words is "ninety-five billion, eight hundred nineteen million, nine hundred fifty-six thousand, nine hundred ninety-two".