95766353417728 has 240 divisors, whose sum is σ = 223030828350000. Its totient is φ = 40960764149760.

The previous prime is 95766353417719. The next prime is 95766353417753. The reversal of 95766353417728 is 82771435366759.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40390700383 + ... + 40390702753.

It is an arithmetic number, because the mean of its divisors is an integer number (929295118125).

Almost surely, 2^{95766353417728} is an apocalyptic number.

95766353417728 is a gapful number since it is divisible by the number (98) 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 95766353417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111515414175000).

95766353417728 is an abundant number, since it is smaller than the sum of its proper divisors (127264474932272).

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

95766353417728 is a wasteful number, since it uses less digits than its factorization.

95766353417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4918 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 73.

The spelling of 95766353417728 in words is "ninety-five trillion, seven hundred sixty-six billion, three hundred fifty-three million, four hundred seventeen thousand, seven hundred twenty-eight".