587160086880 has 192 divisors, whose sum is σ = 1959528811968. Its totient is φ = 147277086720.

The previous prime is 587160086839. The next prime is 587160086881. The reversal of 587160086880 is 88680061785.

587160086880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 587160086880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (587160086881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14120520 + ... + 14162040.

It is an arithmetic number, because the mean of its divisors is an integer number (10205879229).

Almost surely, 2^587160086880 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 587160086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979764405984).

587160086880 is an abundant number, since it is smaller than the sum of its proper divisors (1372368725088).

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

587160086880 is a wasteful number, since it uses less digits than its factorization.

587160086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43289 (or 43281 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 587160086880 in words is "five hundred eighty-seven billion, one hundred sixty million, eighty-six thousand, eight hundred eighty".