1585795857160 has 32 divisors (see below), whose sum is σ = 3616917954840. Its totient is φ = 625629049344.

The previous prime is 1585795857137. The next prime is 1585795857209. The reversal of 1585795857160 is 617585975851.

It can be written as a sum of positive squares in 4 ways, for example, as 1348250744164 + 237545112996 = 1161142^2 + 487386^2 .

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 7 ways as a sum of consecutive naturals, for example, 271537467 + ... + 271543306.

Almost surely, 2^{1585795857160} is an apocalyptic number.

1585795857160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1585795857160 is an abundant number, since it is smaller than the sum of its proper divisors (2031122097680).

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

1585795857160 is a wasteful number, since it uses less digits than its factorization.

1585795857160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543080857 (or 543080853 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 67.

The spelling of 1585795857160 in words is "one trillion, five hundred eighty-five billion, seven hundred ninety-five million, eight hundred fifty-seven thousand, one hundred sixty".