590398087680 has 1120 divisors, whose sum is σ = 2225830109184. Its totient is φ = 149991948288.

The previous prime is 590398087667. The next prime is 590398087751. The reversal of 590398087680 is 86780893095.

590398087680 is a `hidden beast` number, since 5 + 90 + 398 + 0 + 87 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4648803777 + ... + 4648803903.

Almost surely, 2^590398087680 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 590398087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112915054592).

590398087680 is an abundant number, since it is smaller than the sum of its proper divisors (1635432021504).

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

590398087680 is an equidigital number, since it uses as much as digits as its factorization.

590398087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 590398087680 in words is "five hundred ninety billion, three hundred ninety-eight million, eighty-seven thousand, six hundred eighty".