1285208071056 has 960 divisors, whose sum is σ = 5007841977600. Its totient is φ = 311549607936.

The previous prime is 1285208070977. The next prime is 1285208071061. The reversal of 1285208071056 is 6501708025821.

1285208071056 is a `hidden beast` number, since 1 + 2 + 8 + 520 + 8 + 0 + 71 + 0 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201156310 + ... + 201162698.

It is an arithmetic number, because the mean of its divisors is an integer number (5216502060).

Almost surely, 2^{1285208071056} is an apocalyptic number.

1285208071056 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 1285208071056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503920988800).

1285208071056 is an abundant number, since it is smaller than the sum of its proper divisors (3722633906544).

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

1285208071056 is a wasteful number, since it uses less digits than its factorization.

1285208071056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1285208071056 in words is "one trillion, two hundred eighty-five billion, two hundred eight million, seventy-one thousand, fifty-six".