95419392864 has 192 divisors, whose sum is σ = 262205475840. Its totient is φ = 30359347200.

The previous prime is 95419392853. The next prime is 95419392877. The reversal of 95419392864 is 46829391459.

It is a junction number, because it is equal to n+sod(n) for n = 95419392798 and 95419392807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32935864 + ... + 32938760.

It is an arithmetic number, because the mean of its divisors is an integer number (1365653520).

Almost surely, 2^95419392864 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 95419392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131102737920).

95419392864 is an abundant number, since it is smaller than the sum of its proper divisors (166786082976).

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

95419392864 is a wasteful number, since it uses less digits than its factorization.

95419392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The spelling of 95419392864 in words is "ninety-five billion, four hundred nineteen million, three hundred ninety-two thousand, eight hundred sixty-four".