1286867505840 has 480 divisors, whose sum is σ = 4729923694080. Its totient is φ = 288534048768.

The previous prime is 1286867505827. The next prime is 1286867505841. The reversal of 1286867505840 is 485057686821.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1286867505841) 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, 129601996 + ... + 129611924.

It is an arithmetic number, because the mean of its divisors is an integer number (9854007696).

Almost surely, 2^{1286867505840} is an apocalyptic number.

1286867505840 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 1286867505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364961847040).

1286867505840 is an abundant number, since it is smaller than the sum of its proper divisors (3443056188240).

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

1286867505840 is a wasteful number, since it uses less digits than its factorization.

1286867505840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 1286867505840 in words is "one trillion, two hundred eighty-six billion, eight hundred sixty-seven million, five hundred five thousand, eight hundred forty".