1286855361792 has 2160 divisors, whose sum is σ = 5474684920320. Its totient is φ = 291133440000.

The previous prime is 1286855361739. The next prime is 1286855361833. The reversal of 1286855361792 is 2971635586821.

1286855361792 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 8 + 5 + 5 + 3 + 617 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 5126913667 + ... + 5126913917.

It is an arithmetic number, because the mean of its divisors is an integer number (2534576352).

Almost surely, 2^{1286855361792} is an apocalyptic number.

1286855361792 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 1286855361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737342460160).

1286855361792 is an abundant number, since it is smaller than the sum of its proper divisors (4187829558528).

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

1286855361792 is a wasteful number, since it uses less digits than its factorization.

1286855361792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 306 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 1286855361792 in words is "one trillion, two hundred eighty-six billion, eight hundred fifty-five million, three hundred sixty-one thousand, seven hundred ninety-two".