1287662376000 has 4032 divisors, whose sum is σ = 6348563619840. Its totient is φ = 226437120000.

The previous prime is 1287662375977. The next prime is 1287662376001. The reversal of 1287662376000 is 6732667821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287662376001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 41537495985 + ... + 41537496015.

Almost surely, 2^{1287662376000} is an apocalyptic number.

1287662376000 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 1287662376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174281809920).

1287662376000 is an abundant number, since it is smaller than the sum of its proper divisors (5060901243840).

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

1287662376000 is a wasteful number, since it uses less digits than its factorization.

1287662376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 1287662376000 in words is "one trillion, two hundred eighty-seven billion, six hundred sixty-two million, three hundred seventy-six thousand".