1285806319560 has 256 divisors, whose sum is σ = 4899075033600. Its totient is φ = 293852676096.

The previous prime is 1285806319507. The next prime is 1285806319649. The reversal of 1285806319560 is 659136085821.

1285806319560 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 0 + 63 + 19 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1285806319497 and 1285806319506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81284772 + ... + 81300588.

It is an arithmetic number, because the mean of its divisors is an integer number (19137011850).

Almost surely, 2^{1285806319560} is an apocalyptic number.

1285806319560 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 1285806319560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449537516800).

1285806319560 is an abundant number, since it is smaller than the sum of its proper divisors (3613268714040).

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

1285806319560 is a wasteful number, since it uses less digits than its factorization.

1285806319560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26597 (or 26587 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1285806319560 in words is "one trillion, two hundred eighty-five billion, eight hundred six million, three hundred nineteen thousand, five hundred sixty".