1287405598752 has 648 divisors, whose sum is σ = 4854468069360. Its totient is φ = 321653928960.

The previous prime is 1287405598729. The next prime is 1287405598757. The reversal of 1287405598752 is 2578955047821.

1287405598752 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 4 + 0 + 559 + 8 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1287405598752.

It is not an unprimeable number, because it can be changed into a prime (1287405598757) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45299427 + ... + 45327837.

It is an arithmetic number, because the mean of its divisors is an integer number (7491463070).

Almost surely, 2^{1287405598752} is an apocalyptic number.

1287405598752 is a gapful number since it is divisible by the number (12) 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 1287405598752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427234034680).

1287405598752 is an abundant number, since it is smaller than the sum of its proper divisors (3567062470608).

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

1287405598752 is a wasteful number, since it uses less digits than its factorization.

1287405598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28486 (or 28455 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 1287405598752 in words is "one trillion, two hundred eighty-seven billion, four hundred five million, five hundred ninety-eight thousand, seven hundred fifty-two".