6587117856 has 96 divisors (see below), whose sum is σ = 20959041600. Its totient is φ = 1996093440.

The previous prime is 6587117837. The next prime is 6587117897.

6587117856 is a `hidden beast` number, since 6 + 587 + 1 + 1 + 7 + 8 + 56 = 666.

6587117856 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337041 + ... + 356048.

It is an arithmetic number, because the mean of its divisors is an integer number (218323350).

Almost surely, 2^6587117856 is an apocalyptic number.

6587117856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6587117856 is an abundant number, since it is smaller than the sum of its proper divisors (14371923744).

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

6587117856 is a wasteful number, since it uses less digits than its factorization.

6587117856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693119 (or 693105 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 6587117856 is about 81161.0612054820. The cubic root of 6587117856 is about 1874.5562546697.

The spelling of 6587117856 in words is "six billion, five hundred eighty-seven million, one hundred seventeen thousand, eight hundred fifty-six".