95791952256 has 512 divisors, whose sum is σ = 352700006400. Its totient is φ = 22223462400.

The previous prime is 95791952231. The next prime is 95791952273. The reversal of 95791952256 is 65225919759.

It is a self number, because there is not a number n which added to its sum of digits gives 95791952256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11911885 + ... + 11919923.

It is an arithmetic number, because the mean of its divisors is an integer number (688867200).

Almost surely, 2^95791952256 is an apocalyptic number.

95791952256 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 95791952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176350003200).

95791952256 is an abundant number, since it is smaller than the sum of its proper divisors (256908054144).

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

95791952256 is a wasteful number, since it uses less digits than its factorization.

95791952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8106 counting only the distinct ones).

The product of its digits is 15309000, while the sum is 60.

The spelling of 95791952256 in words is "ninety-five billion, seven hundred ninety-one million, nine hundred fifty-two thousand, two hundred fifty-six".