96444120960 has 320 divisors, whose sum is σ = 375732442800. Its totient is φ = 23380254720.

The previous prime is 96444120959. The next prime is 96444120977. The reversal of 96444120960 is 6902144469.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×96444120960² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485676 + ... + 654804.

Almost surely, 2^96444120960 is an apocalyptic number.

96444120960 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 96444120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187866221400).

96444120960 is an abundant number, since it is smaller than the sum of its proper divisors (279288321840).

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

96444120960 is a wasteful number, since it uses less digits than its factorization.

96444120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169171 (or 169150 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96444120960 in words is "ninety-six billion, four hundred forty-four million, one hundred twenty thousand, nine hundred sixty".