995216302080 has 3584 divisors, whose sum is σ = 5073120460800. Its totient is φ = 178362777600.

The previous prime is 995216302057. The next prime is 995216302121. The reversal of 995216302080 is 80203612599.

995216302080 is a `hidden beast` number, since 9 + 9 + 5 + 2 + 1 + 630 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 32103751665 + ... + 32103751695.

It is an arithmetic number, because the mean of its divisors is an integer number (1415491200).

Almost surely, 2^995216302080 is an apocalyptic number.

995216302080 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 995216302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536560230400).

995216302080 is an abundant number, since it is smaller than the sum of its proper divisors (4077904158720).

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

995216302080 is a wasteful number, since it uses less digits than its factorization.

995216302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 995216302080 in words is "nine hundred ninety-five billion, two hundred sixteen million, three hundred two thousand, eighty".