96681066240 has 288 divisors, whose sum is σ = 338102585856. Its totient is φ = 23350394880.

The previous prime is 96681066217. The next prime is 96681066277. The reversal of 96681066240 is 4266018669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96681066240.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11696349 + ... + 11704611.

It is an arithmetic number, because the mean of its divisors is an integer number (1173967312).

Almost surely, 2^96681066240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96681066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169051292928).

96681066240 is an abundant number, since it is smaller than the sum of its proper divisors (241421519616).

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

96681066240 is a wasteful number, since it uses less digits than its factorization.

96681066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 96681066240 in words is "ninety-six billion, six hundred eighty-one million, sixty-six thousand, two hundred forty".