96044473958400 has 2970 divisors, whose sum is σ = 411344742962412. Its totient is φ = 22058061004800.

The previous prime is 96044473958347. The next prime is 96044473958437. The reversal of 96044473958400 is 485937444069.

It is a happy number.

96044473958400 is a `hidden beast` number, since 9 + 6 + 0 + 4 + 4 + 47 + 3 + 9 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2970).

It is an unprimeable number.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 5054972313591 + ... + 5054972313609.

Almost surely, 2^{96044473958400} is an apocalyptic number.

96044473958400 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 96044473958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205672371481206).

96044473958400 is an abundant number, since it is smaller than the sum of its proper divisors (315300269004012).

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

96044473958400 is an frugal number, since it uses more digits than its factorization.

96044473958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 96044473958400 in words is "ninety-six trillion, forty-four billion, four hundred seventy-three million, nine hundred fifty-eight thousand, four hundred".