96583948560 has 320 divisors, whose sum is σ = 365034850560. Its totient is φ = 23277957120.

The previous prime is 96583948541. The next prime is 96583948561. The reversal of 96583948560 is 6584938569.

96583948560 is a `hidden beast` number, since 9 + 6 + 583 + 9 + 48 + 5 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (96583948561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4098732 + ... + 4122228.

It is an arithmetic number, because the mean of its divisors is an integer number (1140733908).

Almost surely, 2^96583948560 is an apocalyptic number.

96583948560 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 96583948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182517425280).

96583948560 is an abundant number, since it is smaller than the sum of its proper divisors (268450902000).

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

96583948560 is a wasteful number, since it uses less digits than its factorization.

96583948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23691 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 96583948560 in words is "ninety-six billion, five hundred eighty-three million, nine hundred forty-eight thousand, five hundred sixty".