96226882752 has 672 divisors, whose sum is σ = 353901768192. Its totient is φ = 22284288000.

The previous prime is 96226882751. The next prime is 96226882789. The reversal of 96226882752 is 25728862269.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×96226882752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96226882692 and 96226882701.

It is not an unprimeable number, because it can be changed into a prime (96226882751) 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, 184696252 + ... + 184696772.

It is an arithmetic number, because the mean of its divisors is an integer number (526639536).

Almost surely, 2^96226882752 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 96226882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176950884096).

96226882752 is an abundant number, since it is smaller than the sum of its proper divisors (257674885440).

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

96226882752 is a wasteful number, since it uses less digits than its factorization.

96226882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 588 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 96226882752 in words is "ninety-six billion, two hundred twenty-six million, eight hundred eighty-two thousand, seven hundred fifty-two".