1287585050400 has 576 divisors, whose sum is σ = 5089909224960. Its totient is φ = 311539737600.

The previous prime is 1287585050371. The next prime is 1287585050417. The reversal of 1287585050400 is 40505857821.

1287585050400 is a `hidden beast` number, since 1 + 28 + 7 + 585 + 0 + 5 + 0 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 129962247 + ... + 129972153.

It is an arithmetic number, because the mean of its divisors is an integer number (8836647960).

Almost surely, 2^{1287585050400} is an apocalyptic number.

1287585050400 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 1287585050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544954612480).

1287585050400 is an abundant number, since it is smaller than the sum of its proper divisors (3802324174560).

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

1287585050400 is a wasteful number, since it uses less digits than its factorization.

1287585050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 1287585050400 in words is "one trillion, two hundred eighty-seven billion, five hundred eighty-five million, fifty thousand, four hundred".