1287107456250 has 768 divisors, whose sum is σ = 4245424275456. Its totient is φ = 252199200000.

The previous prime is 1287107456221. The next prime is 1287107456251. The reversal of 1287107456250 is 526547017821.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1287107456250.

It is not an unprimeable number, because it can be changed into a prime (1287107456251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2756118517 + ... + 2756118983.

It is an arithmetic number, because the mean of its divisors is an integer number (5527896192).

Almost surely, 2^{1287107456250} is an apocalyptic number.

1287107456250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1287107456250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122712137728).

1287107456250 is an abundant number, since it is smaller than the sum of its proper divisors (2958316819206).

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

1287107456250 is a wasteful number, since it uses less digits than its factorization.

1287107456250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 1287107456250 in words is "one trillion, two hundred eighty-seven billion, one hundred seven million, four hundred fifty-six thousand, two hundred fifty".