6586135920 has 1120 divisors, whose sum is σ = 30328808832. Its totient is φ = 1289945088.

The previous prime is 6586135883. The next prime is 6586135961. The reversal of 6586135920 is 295316856.

6586135920 is a `hidden beast` number, since 6 + 5 + 8 + 613 + 5 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90221004 + ... + 90221076.

Almost surely, 2^6586135920 is an apocalyptic number.

6586135920 is a gapful number since it is divisible by the number (60) 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 6586135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164404416).

6586135920 is an abundant number, since it is smaller than the sum of its proper divisors (23742672912).

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

6586135920 is a wasteful number, since it uses less digits than its factorization.

6586135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6586135920 is about 81155.0116751886. The cubic root of 6586135920 is about 1874.4631038774.

The spelling of 6586135920 in words is "six billion, five hundred eighty-six million, one hundred thirty-five thousand, nine hundred twenty".