96292763952 has 960 divisors, whose sum is σ = 351748915200. Its totient is φ = 22353408000.

The previous prime is 96292763891. The next prime is 96292763969. The reversal of 96292763952 is 25936729269.

96292763952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1081941124 + ... + 1081941212.

It is an arithmetic number, because the mean of its divisors is an integer number (366405120).

Almost surely, 2^96292763952 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 96292763952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175874457600).

96292763952 is an abundant number, since it is smaller than the sum of its proper divisors (255456151248).

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

96292763952 is a wasteful number, since it uses less digits than its factorization.

96292763952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 60.

The spelling of 96292763952 in words is "ninety-six billion, two hundred ninety-two million, seven hundred sixty-three thousand, nine hundred fifty-two".