96219037200 has 480 divisors, whose sum is σ = 377865815040. Its totient is φ = 20594534400.

The previous prime is 96219037199. The next prime is 96219037261. The reversal of 96219037200 is 273091269.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 3934611 + ... + 3958989.

It is an arithmetic number, because the mean of its divisors is an integer number (787220448).

Almost surely, 2^96219037200 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 96219037200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188932907520).

96219037200 is an abundant number, since it is smaller than the sum of its proper divisors (281646777840).

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

96219037200 is a wasteful number, since it uses less digits than its factorization.

96219037200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24447 (or 24436 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 96219037200 in words is "ninety-six billion, two hundred nineteen million, thirty-seven thousand, two hundred".