586866228480 has 1296 divisors, whose sum is σ = 2462076489600. Its totient is φ = 131251912704.

The previous prime is 586866228479. The next prime is 586866228493. The reversal of 586866228480 is 84822668685.

586866228480 is a `hidden beast` number, since 58 + 6 + 86 + 6 + 2 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×586866228480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3938699446 + ... + 3938699594.

Almost surely, 2^586866228480 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 586866228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231038244800).

586866228480 is an abundant number, since it is smaller than the sum of its proper divisors (1875210261120).

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

586866228480 is an frugal number, since it uses more digits than its factorization.

586866228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 586866228480 in words is "five hundred eighty-six billion, eight hundred sixty-six million, two hundred twenty-eight thousand, four hundred eighty".