95930950192896 has 2304 divisors, whose sum is σ = 347357545758720. Its totient is φ = 22815147294720.

The previous prime is 95930950192801. The next prime is 95930950192901. The reversal of 95930950192896 is 69829105903959.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 430183633041 + ... + 430183633263.

It is an arithmetic number, because the mean of its divisors is an integer number (150762823680).

Almost surely, 2^{95930950192896} is an apocalyptic number.

95930950192896 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 95930950192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173678772879360).

95930950192896 is an abundant number, since it is smaller than the sum of its proper divisors (251426595565824).

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

95930950192896 is a wasteful number, since it uses less digits than its factorization.

95930950192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 425152800, while the sum is 75.

The spelling of 95930950192896 in words is "ninety-five trillion, nine hundred thirty billion, nine hundred fifty million, one hundred ninety-two thousand, eight hundred ninety-six".