1287353680704 has 448 divisors, whose sum is σ = 4753034944000. Its totient is φ = 339519817728.

The previous prime is 1287353680693. The next prime is 1287353680709. The reversal of 1287353680704 is 4070863537821.

It is a happy number.

1287353680704 is a `hidden beast` number, since 1 + 28 + 7 + 3 + 536 + 80 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287353680709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7621614 + ... + 7788690.

It is an arithmetic number, because the mean of its divisors is an integer number (10609453000).

Almost surely, 2^{1287353680704} is an apocalyptic number.

1287353680704 is a gapful number since it is divisible by the number (14) 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 1287353680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376517472000).

1287353680704 is an abundant number, since it is smaller than the sum of its proper divisors (3465681263296).

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

1287353680704 is a wasteful number, since it uses less digits than its factorization.

1287353680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167132 (or 167102 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1287353680704 in words is "one trillion, two hundred eighty-seven billion, three hundred fifty-three million, six hundred eighty thousand, seven hundred four".