16311300096 has 416 divisors, whose sum is σ = 55483868160. Its totient is φ = 4145283072.

The previous prime is 16311300079. The next prime is 16311300221. The reversal of 16311300096 is 69000311361.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32427781 + ... + 32428283.

Almost surely, 2^16311300096 is an apocalyptic number.

16311300096 is a gapful number since it is divisible by the number (16) 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 16311300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27741934080).

16311300096 is an abundant number, since it is smaller than the sum of its proper divisors (39172568064).

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

16311300096 is a wasteful number, since it uses less digits than its factorization.

16311300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 16311300096 in words is "sixteen billion, three hundred eleven million, three hundred thousand, ninety-six".