95216584320 has 1536 divisors, whose sum is σ = 415705651200. Its totient is φ = 20437401600.

The previous prime is 95216584319. The next prime is 95216584343. The reversal of 95216584320 is 2348561259.

95216584320 is a `hidden beast` number, since 9 + 52 + 16 + 584 + 3 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 842624584 + ... + 842624696.

It is an arithmetic number, because the mean of its divisors is an integer number (270641700).

Almost surely, 2^95216584320 is an apocalyptic number.

95216584320 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 95216584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207852825600).

95216584320 is an abundant number, since it is smaller than the sum of its proper divisors (320489066880).

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

95216584320 is a wasteful number, since it uses less digits than its factorization.

95216584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 95216584320 in words is "ninety-five billion, two hundred sixteen million, five hundred eighty-four thousand, three hundred twenty".