1284716080200 has 768 divisors, whose sum is σ = 4973395968000. Its totient is φ = 267712128000.

The previous prime is 1284716080189. The next prime is 1284716080229. The reversal of 1284716080200 is 20806174821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472494441 + ... + 472497159.

It is an arithmetic number, because the mean of its divisors is an integer number (6475776000).

Almost surely, 2^{1284716080200} is an apocalyptic number.

1284716080200 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 1284716080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486697984000).

1284716080200 is an abundant number, since it is smaller than the sum of its proper divisors (3688679887800).

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

1284716080200 is a wasteful number, since it uses less digits than its factorization.

1284716080200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 1284716080200 in words is "one trillion, two hundred eighty-four billion, seven hundred sixteen million, eighty thousand, two hundred".