587387760960 has 896 divisors, whose sum is σ = 2524237922304. Its totient is φ = 111755427840.

The previous prime is 587387760943. The next prime is 587387760983. The reversal of 587387760960 is 69067783785.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 587387760891 and 587387760900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122039514 + ... + 122044326.

It is an arithmetic number, because the mean of its divisors is an integer number (2817229824).

Almost surely, 2^587387760960 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 587387760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262118961152).

587387760960 is an abundant number, since it is smaller than the sum of its proper divisors (1936850161344).

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

587387760960 is a wasteful number, since it uses less digits than its factorization.

587387760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 587387760960 in words is "five hundred eighty-seven billion, three hundred eighty-seven million, seven hundred sixty thousand, nine hundred sixty".