96485394087936 has 1824 divisors, whose sum is σ = 349584840833280. Its totient is φ = 26197924773888.

The previous prime is 96485394087923. The next prime is 96485394087961. The reversal of 96485394087936 is 63978049358469.

96485394087936 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 539 + 4 + 0 + 8 + 79 + 3 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936751398861 + ... + 936751398963.

It is an arithmetic number, because the mean of its divisors is an integer number (191658355720).

Almost surely, 2^{96485394087936} is an apocalyptic number.

96485394087936 is a gapful number since it is divisible by the number (96) 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 96485394087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174792420416640).

96485394087936 is an abundant number, since it is smaller than the sum of its proper divisors (253099446745344).

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

96485394087936 is an equidigital number, since it uses as much as digits as its factorization.

96485394087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 96485394087936 in words is "ninety-six trillion, four hundred eighty-five billion, three hundred ninety-four million, eighty-seven thousand, nine hundred thirty-six".