1585879941120 has 512 divisors, whose sum is σ = 5476163319360. Its totient is φ = 390405816320.

The previous prime is 1585879941047. The next prime is 1585879941197. The reversal of 1585879941120 is 211499785851.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442857730 + ... + 442861310.

Almost surely, 2^{1585879941120} is an apocalyptic number.

1585879941120 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 1585879941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738081659680).

1585879941120 is an abundant number, since it is smaller than the sum of its proper divisors (3890283378240).

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

1585879941120 is an equidigital number, since it uses as much as digits as its factorization.

1585879941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 60.

The spelling of 1585879941120 in words is "one trillion, five hundred eighty-five billion, eight hundred seventy-nine million, nine hundred forty-one thousand, one hundred twenty".