96381331200 has 1296 divisors, whose sum is σ = 444103575552. Its totient is φ = 19353600000.

The previous prime is 96381331183. The next prime is 96381331219. The reversal of 96381331200 is 213318369.

96381331200 is a `hidden beast` number, since 9 + 638 + 1 + 3 + 3 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×96381331200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137490850 + ... + 137491550.

It is an arithmetic number, because the mean of its divisors is an integer number (342672512).

Almost surely, 2^96381331200 is an apocalyptic number.

96381331200 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 96381331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222051787776).

96381331200 is an abundant number, since it is smaller than the sum of its proper divisors (347722244352).

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

96381331200 is a wasteful number, since it uses less digits than its factorization.

96381331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 96381331200 its reverse (213318369), we get a palindrome (96594649569).

The spelling of 96381331200 in words is "ninety-six billion, three hundred eighty-one million, three hundred thirty-one thousand, two hundred".