96587108435664 has 960 divisors, whose sum is σ = 360126701844480. Its totient is φ = 24277312224000.

The previous prime is 96587108435659. The next prime is 96587108435717. The reversal of 96587108435664 is 46653480178569.

96587108435664 is a `hidden beast` number, since 9 + 6 + 5 + 8 + 7 + 10 + 8 + 43 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96587108435592 and 96587108435601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3867958699 + ... + 3867983669.

It is an arithmetic number, because the mean of its divisors is an integer number (375131981088).

Almost surely, 2^{96587108435664} 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 96587108435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180063350922240).

96587108435664 is an abundant number, since it is smaller than the sum of its proper divisors (263539593408816).

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

96587108435664 is a wasteful number, since it uses less digits than its factorization.

96587108435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25090 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 96587108435664 in words is "ninety-six trillion, five hundred eighty-seven billion, one hundred eight million, four hundred thirty-five thousand, six hundred sixty-four".