95923888220160 has 3456 divisors, whose sum is σ = 465554067713280. Its totient is φ = 17945277235200.

The previous prime is 95923888220141. The next prime is 95923888220161. The reversal of 95923888220160 is 6102288832959.

95923888220160 is a `hidden beast` number, since 9 + 5 + 92 + 388 + 8 + 2 + 2 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (95923888220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26476368109 + ... + 26476371731.

It is an arithmetic number, because the mean of its divisors is an integer number (134708931630).

Almost surely, 2^{95923888220160} is an apocalyptic number.

95923888220160 is a gapful number since it is divisible by the number (90) 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 95923888220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232777033856640).

95923888220160 is an abundant number, since it is smaller than the sum of its proper divisors (369630179493120).

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

95923888220160 is a wasteful number, since it uses less digits than its factorization.

95923888220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 95923888220160 in words is "ninety-five trillion, nine hundred twenty-three billion, eight hundred eighty-eight million, two hundred twenty thousand, one hundred sixty".