96839608320 has 960 divisors, whose sum is σ = 427536869760. Its totient is φ = 20416167936.

The previous prime is 96839608309. The next prime is 96839608361. The reversal of 96839608320 is 2380693869.

96839608320 is a `hidden beast` number, since 9 + 6 + 8 + 3 + 9 + 608 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75478399 + ... + 75479681.

It is an arithmetic number, because the mean of its divisors is an integer number (445350906).

Almost surely, 2^96839608320 is an apocalyptic number.

96839608320 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 96839608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213768434880).

96839608320 is an abundant number, since it is smaller than the sum of its proper divisors (330697261440).

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

96839608320 is a wasteful number, since it uses less digits than its factorization.

96839608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 96839608320 in words is "ninety-six billion, eight hundred thirty-nine million, six hundred eight thousand, three hundred twenty".