96380444160 has 1920 divisors, whose sum is σ = 470219904000. Its totient is φ = 18393661440.

The previous prime is 96380444159. The next prime is 96380444179. The reversal of 96380444160 is 6144408369.

96380444160 is a `hidden beast` number, since 9 + 638 + 0 + 4 + 4 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 484323741 + ... + 484323939.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 2^96380444160 is an apocalyptic number.

96380444160 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 96380444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952000).

96380444160 is an abundant number, since it is smaller than the sum of its proper divisors (373839459840).

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

96380444160 is a wasteful number, since it uses less digits than its factorization.

96380444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 96380444160 in words is "ninety-six billion, three hundred eighty million, four hundred forty-four thousand, one hundred sixty".