1585871312256 has 2048 divisors, whose sum is σ = 6359316480000. Its totient is φ = 381877493760.

The previous prime is 1585871312203. The next prime is 1585871312269. The reversal of 1585871312256 is 6522131785851.

1585871312256 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 8 + 71 + 312 + 256 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26879174755 + ... + 26879174813.

It is an arithmetic number, because the mean of its divisors is an integer number (3105135000).

Almost surely, 2^{1585871312256} is an apocalyptic number.

1585871312256 is a gapful number since it is divisible by the number (16) 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 1585871312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179658240000).

1585871312256 is an abundant number, since it is smaller than the sum of its proper divisors (4773445167744).

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

1585871312256 is an equidigital number, since it uses as much as digits as its factorization.

1585871312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 1585871312256 in words is "one trillion, five hundred eighty-five billion, eight hundred seventy-one million, three hundred twelve thousand, two hundred fifty-six".