96005412000 has 576 divisors, whose sum is σ = 361717259904. Its totient is φ = 24995174400.

The previous prime is 96005411977. The next prime is 96005412001. The reversal of 96005412000 is 21450069.

96005412000 is a `hidden beast` number, since 9 + 600 + 54 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (96005412001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 41794852 + ... + 41797148.

It is an arithmetic number, because the mean of its divisors is an integer number (627981354).

Almost surely, 2^96005412000 is an apocalyptic number.

96005412000 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 96005412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180858629952).

96005412000 is an abundant number, since it is smaller than the sum of its proper divisors (265711847904).

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

96005412000 is a wasteful number, since it uses less digits than its factorization.

96005412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 96005412000 its reverse (21450069), we get a palindrome (96026862069).

The spelling of 96005412000 in words is "ninety-six billion, five million, four hundred twelve thousand".