1585257590560 has 96 divisors (see below), whose sum is σ = 4328287850880. Its totient is φ = 537409923072.

The previous prime is 1585257590557. The next prime is 1585257590597. The reversal of 1585257590560 is 650957525851.

It is a super-2 number, since 2×1585257590560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1585257590495 and 1585257590504.

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 15 ways as a sum of consecutive naturals, for example, 7852054 + ... + 8051413.

It is an arithmetic number, because the mean of its divisors is an integer number (45086331780).

Almost surely, 2^{1585257590560} is an apocalyptic number.

1585257590560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1585257590560 is an abundant number, since it is smaller than the sum of its proper divisors (2743030260320).

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

1585257590560 is a wasteful number, since it uses less digits than its factorization.

1585257590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903578 (or 15903570 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 58.

The spelling of 1585257590560 in words is "one trillion, five hundred eighty-five billion, two hundred fifty-seven million, five hundred ninety thousand, five hundred sixty".