1585857142880 has 192 divisors, whose sum is σ = 3976683475968. Its totient is φ = 596348712960.

The previous prime is 1585857142873. The next prime is 1585857142889. The reversal of 1585857142880 is 882417585851.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585857142889) 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, 449631677 + ... + 449635203.

It is an arithmetic number, because the mean of its divisors is an integer number (20711893104).

Almost surely, 2^{1585857142880} is an apocalyptic number.

1585857142880 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 1585857142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988341737984).

1585857142880 is an abundant number, since it is smaller than the sum of its proper divisors (2390826333088).

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

1585857142880 is a wasteful number, since it uses less digits than its factorization.

1585857142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 28672000, while the sum is 62.

The spelling of 1585857142880 in words is "one trillion, five hundred eighty-five billion, eight hundred fifty-seven million, one hundred forty-two thousand, eight hundred eighty".