95005128792816 has 160 divisors (see below), whose sum is σ = 313148218540800. Its totient is φ = 27274199627520.

The previous prime is 95005128792809. The next prime is 95005128792817. The reversal of 95005128792816 is 61829782150059.

95005128792816 is a `hidden beast` number, since 9 + 5 + 0 + 0 + 512 + 87 + 9 + 28 + 16 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95005128792817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526032391 + ... + 526212966.

It is an arithmetic number, because the mean of its divisors is an integer number (1957176365880).

Almost surely, 2^{95005128792816} is an apocalyptic number.

It is an amenable number.

95005128792816 is an abundant number, since it is smaller than the sum of its proper divisors (218143089747984).

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

95005128792816 is a wasteful number, since it uses less digits than its factorization.

95005128792816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052245404 (or 1052245392 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 95005128792816 in words is "ninety-five trillion, five billion, one hundred twenty-eight million, seven hundred ninety-two thousand, eight hundred sixteen".