6585705840000 has 960 divisors, whose sum is σ = 25550891847360. Its totient is φ = 1498065408000.

The previous prime is 6585705839953. The next prime is 6585705840059. The reversal of 6585705840000 is 485075856.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6585705840000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2669518767 + ... + 2669521233.

It is an arithmetic number, because the mean of its divisors is an integer number (26615512341).

Almost surely, 2^{6585705840000} is an apocalyptic number.

6585705840000 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 6585705840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775445923680).

6585705840000 is an abundant number, since it is smaller than the sum of its proper divisors (18965186007360).

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

6585705840000 is a wasteful number, since it uses less digits than its factorization.

6585705840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 6585705840000 in words is "six trillion, five hundred eighty-five billion, seven hundred five million, eight hundred forty thousand".