95851615104 has 768 divisors, whose sum is σ = 343380111360. Its totient is φ = 25082265600.

The previous prime is 95851615099. The next prime is 95851615127. The reversal of 95851615104 is 40151615859.

95851615104 is a `hidden beast` number, since 9 + 585 + 1 + 61 + 5 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 95851615104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397724424 + ... + 397724664.

It is an arithmetic number, because the mean of its divisors is an integer number (447109520).

Almost surely, 2^95851615104 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 95851615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690055680).

95851615104 is an abundant number, since it is smaller than the sum of its proper divisors (247528496256).

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

95851615104 is a wasteful number, since it uses less digits than its factorization.

95851615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 95851615104 in words is "ninety-five billion, eight hundred fifty-one million, six hundred fifteen thousand, one hundred four".