95696679600 has 360 divisors, whose sum is σ = 347295405600. Its totient is φ = 24355921920.

The previous prime is 95696679571. The next prime is 95696679629. The reversal of 95696679600 is 697669659.

95696679600 is a `hidden beast` number, since 9 + 569 + 6 + 6 + 7 + 9 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95696679571) and next prime (95696679629).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49099426 + ... + 49101374.

It is an arithmetic number, because the mean of its divisors is an integer number (964709460).

Almost surely, 2^95696679600 is an apocalyptic number.

95696679600 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 95696679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173647702800).

95696679600 is an abundant number, since it is smaller than the sum of its proper divisors (251598726000).

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

95696679600 is a wasteful number, since it uses less digits than its factorization.

95696679600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 95696679600 in words is "ninety-five billion, six hundred ninety-six million, six hundred seventy-nine thousand, six hundred".