96283560960 has 528 divisors, whose sum is σ = 371894047200. Its totient is φ = 22889889792.

The previous prime is 96283560931. The next prime is 96283561019. The reversal of 96283560960 is 6906538269.

96283560960 is a `hidden beast` number, since 9 + 6 + 28 + 3 + 5 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×96283560960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96283560897 and 96283560906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14880606 + ... + 14887074.

Almost surely, 2^96283560960 is an apocalyptic number.

96283560960 is a gapful number since it is divisible by the number (90) 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 96283560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185947023600).

96283560960 is an abundant number, since it is smaller than the sum of its proper divisors (275610486240).

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

96283560960 is a wasteful number, since it uses less digits than its factorization.

96283560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 96283560960 in words is "ninety-six billion, two hundred eighty-three million, five hundred sixty thousand, nine hundred sixty".