95082789872064 has 672 divisors, whose sum is σ = 278714233324800. Its totient is φ = 28500082688000.

The previous prime is 95082789872051. The next prime is 95082789872099. The reversal of 95082789872064 is 46027898728059.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135638786914 + ... + 135638787614.

It is an arithmetic number, because the mean of its divisors is an integer number (414753323400).

Almost surely, 2^{95082789872064} 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 95082789872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139357116662400).

95082789872064 is an abundant number, since it is smaller than the sum of its proper divisors (183631443452736).

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

95082789872064 is a wasteful number, since it uses less digits than its factorization.

95082789872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 75.

The spelling of 95082789872064 in words is "ninety-five trillion, eighty-two billion, seven hundred eighty-nine million, eight hundred seventy-two thousand, sixty-four".