999936000000 has 1344 divisors, whose sum is σ = 4259720474880. Its totient is φ = 221184000000.

The previous prime is 999935999987. The next prime is 999936000001. The reversal of 999936000000 is 639999.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 999936000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999936000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32255999985 + ... + 32256000015.

Almost surely, 2^999936000000 is an apocalyptic number.

999936000000 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 999936000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129860237440).

999936000000 is an abundant number, since it is smaller than the sum of its proper divisors (3259784474880).

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

999936000000 is an frugal number, since it uses more digits than its factorization.

999936000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

Adding to 999936000000 its reverse (639999), we get a palindrome (999936639999).

The spelling of 999936000000 in words is "nine hundred ninety-nine billion, nine hundred thirty-six million", and thus it is an aban number.