96129892320 has 1152 divisors, whose sum is σ = 400004075520. Its totient is φ = 18977587200.

The previous prime is 96129892303. The next prime is 96129892357. The reversal of 96129892320 is 2329892169.

It is a happy number.

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, 1216834041 + ... + 1216834119.

It is an arithmetic number, because the mean of its divisors is an integer number (347225760).

Almost surely, 2^96129892320 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 96129892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200002037760).

96129892320 is an abundant number, since it is smaller than the sum of its proper divisors (303874183200).

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

96129892320 is a wasteful number, since it uses less digits than its factorization.

96129892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 96129892320 in words is "ninety-six billion, one hundred twenty-nine million, eight hundred ninety-two thousand, three hundred twenty".