995834044800 has 1536 divisors, whose sum is σ = 4340550758400. Its totient is φ = 218242252800.

The previous prime is 995834044771. The next prime is 995834044841. The reversal of 995834044800 is 8440438599.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1506556470 + ... + 1506557130.

It is an arithmetic number, because the mean of its divisors is an integer number (2825879400).

Almost surely, 2^995834044800 is an apocalyptic number.

995834044800 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 995834044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170275379200).

995834044800 is an abundant number, since it is smaller than the sum of its proper divisors (3344716713600).

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

995834044800 is a wasteful number, since it uses less digits than its factorization.

995834044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 995834044800 in words is "nine hundred ninety-five billion, eight hundred thirty-four million, forty-four thousand, eight hundred".