96110431872 has 768 divisors, whose sum is σ = 345666478080. Its totient is φ = 23011983360.

The previous prime is 96110431849. The next prime is 96110431909. The reversal of 96110431872 is 27813401169.

It is a happy number.

It is a super-2 number, since 2×96110431872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313063143 + ... + 313063449.

It is an arithmetic number, because the mean of its divisors is an integer number (450086560).

Almost surely, 2^96110431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96110431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172833239040).

96110431872 is an abundant number, since it is smaller than the sum of its proper divisors (249556046208).

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

96110431872 is a wasteful number, since it uses less digits than its factorization.

96110431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 96110431872 in words is "ninety-six billion, one hundred ten million, four hundred thirty-one thousand, eight hundred seventy-two".