996098816900 has 288 divisors, whose sum is σ = 2504575696896. Its totient is φ = 340516800000.

The previous prime is 996098816887. The next prime is 996098816963. The reversal of 996098816900 is 9618890699.

It is a super-2 number, since 2×996098816900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186149225 + ... + 186154575.

It is an arithmetic number, because the mean of its divisors is an integer number (8696443392).

Almost surely, 2^996098816900 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 996098816900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252287848448).

996098816900 is an abundant number, since it is smaller than the sum of its proper divisors (1508476879996).

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

996098816900 is a wasteful number, since it uses less digits than its factorization.

996098816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 65.

The spelling of 996098816900 in words is "nine hundred ninety-six billion, ninety-eight million, eight hundred sixteen thousand, nine hundred".