1287415852800 has 1728 divisors, whose sum is σ = 5473676328960. Its totient is φ = 258785280000.

The previous prime is 1287415852783. The next prime is 1287415852837. The reversal of 1287415852800 is 82585147821.

It is a congruent number.

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, 8525932725 + ... + 8525932875.

Almost surely, 2^{1287415852800} is an apocalyptic number.

1287415852800 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 1287415852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736838164480).

1287415852800 is an abundant number, since it is smaller than the sum of its proper divisors (4186260476160).

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

1287415852800 is a wasteful number, since it uses less digits than its factorization.

1287415852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 51.

The spelling of 1287415852800 in words is "one trillion, two hundred eighty-seven billion, four hundred fifteen million, eight hundred fifty-two thousand, eight hundred".