1585117274880 has 576 divisors, whose sum is σ = 5433112903680. Its totient is φ = 392461811712.

The previous prime is 1585117274879. The next prime is 1585117274887. The reversal of 1585117274880 is 884727115851.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1585117274880.

It is not an unprimeable number, because it can be changed into a prime (1585117274887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2611395537 + ... + 2611396143.

It is an arithmetic number, because the mean of its divisors is an integer number (9432487680).

Almost surely, 2^{1585117274880} is an apocalyptic number.

1585117274880 is a gapful number since it is divisible by the number (10) 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 1585117274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716556451840).

1585117274880 is an abundant number, since it is smaller than the sum of its proper divisors (3847995628800).

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

1585117274880 is a wasteful number, since it uses less digits than its factorization.

1585117274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 57.

The spelling of 1585117274880 in words is "one trillion, five hundred eighty-five billion, one hundred seventeen million, two hundred seventy-four thousand, eight hundred eighty".