1585717160142 has 64 divisors (see below), whose sum is σ = 3327576215040. Its totient is φ = 502804520064.

The previous prime is 1585717160129. The next prime is 1585717160149. The reversal of 1585717160142 is 2410617175851.

It is a junction number, because it is equal to n+sod(n) for n = 1585717160091 and 1585717160100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585717160149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69013768 + ... + 69036740.

It is an arithmetic number, because the mean of its divisors is an integer number (51993378360).

Almost surely, 2^{1585717160142} is an apocalyptic number.

1585717160142 is an abundant number, since it is smaller than the sum of its proper divisors (1741859054898).

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

1585717160142 is a wasteful number, since it uses less digits than its factorization.

1585717160142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25737.

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 1585717160142 in words is "one trillion, five hundred eighty-five billion, seven hundred seventeen million, one hundred sixty thousand, one hundred forty-two".