1285852060800 has 480 divisors, whose sum is σ = 4873358540820. Its totient is φ = 333623992320.

The previous prime is 1285852060747. The next prime is 1285852060849. The reversal of 1285852060800 is 80602585821.

1285852060800 is a `hidden beast` number, since 1 + 2 + 8 + 585 + 2 + 0 + 60 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1145191058496 + 140661002304 = 1070136^2 + 375048^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9523362 + ... + 9657438.

Almost surely, 2^{1285852060800} is an apocalyptic number.

1285852060800 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 1285852060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436679270410).

1285852060800 is an abundant number, since it is smaller than the sum of its proper divisors (3587506480020).

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

1285852060800 is a wasteful number, since it uses less digits than its factorization.

1285852060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134150 (or 134124 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1285852060800 in words is "one trillion, two hundred eighty-five billion, eight hundred fifty-two million, sixty thousand, eight hundred".