96482350800 has 1440 divisors, whose sum is σ = 413009815680. Its totient is φ = 21288960000.

The previous prime is 96482350799. The next prime is 96482350813. The reversal of 96482350800 is 805328469.

96482350800 is a `hidden beast` number, since 9 + 64 + 82 + 3 + 508 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 955270750 + ... + 955270850.

It is an arithmetic number, because the mean of its divisors is an integer number (286812372).

Almost surely, 2^96482350800 is an apocalyptic number.

96482350800 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 96482350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206504907840).

96482350800 is an abundant number, since it is smaller than the sum of its proper divisors (316527464880).

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

96482350800 is a wasteful number, since it uses less digits than its factorization.

96482350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 96482350800 in words is "ninety-six billion, four hundred eighty-two million, three hundred fifty thousand, eight hundred".