96506439120 has 960 divisors, whose sum is σ = 438136957440. Its totient is φ = 19158073344.

The previous prime is 96506439101. The next prime is 96506439167. The reversal of 96506439120 is 2193460569.

96506439120 is a `hidden beast` number, since 96 + 5 + 0 + 6 + 439 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30072076 + ... + 30075284.

It is an arithmetic number, because the mean of its divisors is an integer number (456392664).

Almost surely, 2^96506439120 is an apocalyptic number.

96506439120 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 96506439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219068478720).

96506439120 is an abundant number, since it is smaller than the sum of its proper divisors (341630518320).

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

96506439120 is a wasteful number, since it uses less digits than its factorization.

96506439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

Adding to 96506439120 its reverse (2193460569), we get a palindrome (98699899689).

The spelling of 96506439120 in words is "ninety-six billion, five hundred six million, four hundred thirty-nine thousand, one hundred twenty".