1285816627200 has 624 divisors, whose sum is σ = 4925726130176. Its totient is φ = 289839513600.

The previous prime is 1285816627177. The next prime is 1285816627217. The reversal of 1285816627200 is 27266185821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1285816627200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156975105 + ... + 156983295.

Almost surely, 2^{1285816627200} is an apocalyptic number.

1285816627200 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 1285816627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462863065088).

1285816627200 is an abundant number, since it is smaller than the sum of its proper divisors (3639909502976).

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

1285816627200 is an equidigital number, since it uses as much as digits as its factorization.

1285816627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1285816627200 in words is "one trillion, two hundred eighty-five billion, eight hundred sixteen million, six hundred twenty-seven thousand, two hundred".