96024268800 has 936 divisors, whose sum is σ = 379321409376. Its totient is φ = 23994040320.

The previous prime is 96024268799. The next prime is 96024268843. The reversal of 96024268800 is 886242069.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423014287 + ... + 423014513.

It is an arithmetic number, because the mean of its divisors is an integer number (405257916).

Almost surely, 2^96024268800 is an apocalyptic number.

96024268800 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 96024268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189660704688).

96024268800 is an abundant number, since it is smaller than the sum of its proper divisors (283297140576).

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

96024268800 is a wasteful number, since it uses less digits than its factorization.

96024268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 96024268800 in words is "ninety-six billion, twenty-four million, two hundred sixty-eight thousand, eight hundred".