95600478960 has 640 divisors, whose sum is σ = 391260672000. Its totient is φ = 20992462848.

The previous prime is 95600478929. The next prime is 95600479001. The reversal of 95600478960 is 6987400659.

95600478960 is a `hidden beast` number, since 9 + 560 + 0 + 4 + 78 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 95600478897 and 95600478906.

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 127 ways as a sum of consecutive naturals, for example, 115319826 + ... + 115320654.

It is an arithmetic number, because the mean of its divisors is an integer number (611344800).

Almost surely, 2^95600478960 is an apocalyptic number.

95600478960 is a gapful number since it is divisible by the number (90) 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 95600478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195630336000).

95600478960 is an abundant number, since it is smaller than the sum of its proper divisors (295660193040).

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

95600478960 is a wasteful number, since it uses less digits than its factorization.

95600478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 95600478960 in words is "ninety-five billion, six hundred million, four hundred seventy-eight thousand, nine hundred sixty".