1287284689152 has 864 divisors, whose sum is σ = 4709570261760. Its totient is φ = 328484782080.

The previous prime is 1287284689123. The next prime is 1287284689153. The reversal of 1287284689152 is 2519864827821.

1287284689152 is a `hidden beast` number, since 1 + 2 + 87 + 2 + 8 + 468 + 91 + 5 + 2 = 666.

It is a super-2 number, since 2×1287284689152² (a number of 25 digits) contains 22 as substring.

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 1287284689152.

It is not an unprimeable number, because it can be changed into a prime (1287284689153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3147395124 + ... + 3147395532.

Almost surely, 2^{1287284689152} is an apocalyptic number.

1287284689152 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 1287284689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354785130880).

1287284689152 is an abundant number, since it is smaller than the sum of its proper divisors (3422285572608).

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

1287284689152 is a wasteful number, since it uses less digits than its factorization.

1287284689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 702 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 1287284689152 in words is "one trillion, two hundred eighty-seven billion, two hundred eighty-four million, six hundred eighty-nine thousand, one hundred fifty-two".