95916506628096 has 2520 divisors, whose sum is σ = 373922244694656. Its totient is φ = 24306387517440.

The previous prime is 95916506628077. The next prime is 95916506628139. The reversal of 95916506628096 is 69082660561959.

95916506628096 is a `hidden beast` number, since 9 + 5 + 9 + 1 + 6 + 506 + 6 + 28 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 302575730530 + ... + 302575730846.

Almost surely, 2^{95916506628096} is an apocalyptic number.

95916506628096 is a gapful number since it is divisible by the number (96) 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 95916506628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186961122347328).

95916506628096 is an abundant number, since it is smaller than the sum of its proper divisors (278005738066560).

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

95916506628096 is an equidigital number, since it uses as much as digits as its factorization.

95916506628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 95916506628096 in words is "ninety-five trillion, nine hundred sixteen billion, five hundred six million, six hundred twenty-eight thousand, ninety-six".