96586369597440 has 552 divisors, whose sum is σ = 335936531263320. Its totient is φ = 25671556399104.

The previous prime is 96586369597337. The next prime is 96586369597507. The reversal of 96586369597440 is 4479596368569.

96586369597440 is a `hidden beast` number, since 9 + 6 + 5 + 8 + 63 + 69 + 59 + 7 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28703534874624 + 67882834722816 = 5357568^2 + 8239104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96586369597440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74931240316 + ... + 74931241604.

Almost surely, 2^{96586369597440} is an apocalyptic number.

96586369597440 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 96586369597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167968265631660).

96586369597440 is an abundant number, since it is smaller than the sum of its proper divisors (239350161665880).

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

96586369597440 is an frugal number, since it uses more digits than its factorization.

96586369597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 10581580800, while the sum is 81.

The spelling of 96586369597440 in words is "ninety-six trillion, five hundred eighty-six billion, three hundred sixty-nine million, five hundred ninety-seven thousand, four hundred forty".