1585983882816 has 560 divisors, whose sum is σ = 5081690363904. Its totient is φ = 487834389504.

The previous prime is 1585983882799. The next prime is 1585983882829. The reversal of 1585983882816 is 6182883895851.

1585983882816 is a `hidden beast` number, since 1 + 5 + 8 + 598 + 3 + 8 + 8 + 28 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 425537145 + ... + 425540871.

Almost surely, 2^{1585983882816} is an apocalyptic number.

1585983882816 is a gapful number since it is divisible by the number (16) 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 1585983882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540845181952).

1585983882816 is an abundant number, since it is smaller than the sum of its proper divisors (3495706481088).

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

1585983882816 is a wasteful number, since it uses less digits than its factorization.

1585983882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3881 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 72.

The spelling of 1585983882816 in words is "one trillion, five hundred eighty-five billion, nine hundred eighty-three million, eight hundred eighty-two thousand, eight hundred sixteen".