96248224800 has 864 divisors, whose sum is σ = 423805374720. Its totient is φ = 20011622400.

The previous prime is 96248224789. The next prime is 96248224843. The reversal of 96248224800 is 842284269.

96248224800 is a `hidden beast` number, since 96 + 2 + 4 + 82 + 2 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46518166 + ... + 46520234.

It is an arithmetic number, because the mean of its divisors is an integer number (490515480).

Almost surely, 2^96248224800 is an apocalyptic number.

96248224800 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 96248224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902687360).

96248224800 is an abundant number, since it is smaller than the sum of its proper divisors (327557149920).

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

96248224800 is a wasteful number, since it uses less digits than its factorization.

96248224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 96248224800 in words is "ninety-six billion, two hundred forty-eight million, two hundred twenty-four thousand, eight hundred".