96384556800 has 540 divisors, whose sum is σ = 407304045456. Its totient is φ = 22029926400.

The previous prime is 96384556783. The next prime is 96384556813. The reversal of 96384556800 is 865548369.

It is a happy number.

96384556800 is a `hidden beast` number, since 9 + 6 + 3 + 8 + 4 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 3615520 + ... + 3642080.

Almost surely, 2^96384556800 is an apocalyptic number.

96384556800 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 96384556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203652022728).

96384556800 is an abundant number, since it is smaller than the sum of its proper divisors (310919488656).

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

96384556800 is a wasteful number, since it uses less digits than its factorization.

96384556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 96384556800 in words is "ninety-six billion, three hundred eighty-four million, five hundred fifty-six thousand, eight hundred".