996906081120 has 384 divisors, whose sum is σ = 3241020625920. Its totient is φ = 257481154560.

The previous prime is 996906081097. The next prime is 996906081137. The reversal of 996906081120 is 21180609699.

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 63 ways as a sum of consecutive naturals, for example, 557241186 + ... + 557242974.

It is an arithmetic number, because the mean of its divisors is an integer number (8440157880).

Almost surely, 2^996906081120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996906081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620510312960).

996906081120 is an abundant number, since it is smaller than the sum of its proper divisors (2244114544800).

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

996906081120 is a wasteful number, since it uses less digits than its factorization.

996906081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 996906081120 in words is "nine hundred ninety-six billion, nine hundred six million, eighty-one thousand, one hundred twenty".