995536396800 has 1920 divisors, whose sum is σ = 4179052880640. Its totient is φ = 232906752000.

The previous prime is 995536396753. The next prime is 995536396819. The reversal of 995536396800 is 8693635599.

995536396800 is a `hidden beast` number, since 9 + 9 + 5 + 536 + 3 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 16320268770 + ... + 16320268830.

It is an arithmetic number, because the mean of its divisors is an integer number (2176590042).

Almost surely, 2^995536396800 is an apocalyptic number.

995536396800 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 995536396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089526440320).

995536396800 is an abundant number, since it is smaller than the sum of its proper divisors (3183516483840).

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

995536396800 is an equidigital number, since it uses as much as digits as its factorization.

995536396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 995536396800 in words is "nine hundred ninety-five billion, five hundred thirty-six million, three hundred ninety-six thousand, eight hundred".