96495960288 has 576 divisors, whose sum is σ = 340544010240. Its totient is φ = 23640035328.

The previous prime is 96495960227. The next prime is 96495960293. The reversal of 96495960288 is 88206959469.

It is a super-2 number, since 2×96495960288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61579281 + ... + 61580847.

It is an arithmetic number, because the mean of its divisors is an integer number (591222240).

Almost surely, 2^96495960288 is an apocalyptic number.

96495960288 is a gapful number since it is divisible by the number (98) 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 96495960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170272005120).

96495960288 is an abundant number, since it is smaller than the sum of its proper divisors (244048049952).

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

96495960288 is a wasteful number, since it uses less digits than its factorization.

96495960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 96495960288 in words is "ninety-six billion, four hundred ninety-five million, nine hundred sixty thousand, two hundred eighty-eight".