1286006380380 has 240 divisors, whose sum is σ = 4293041860800. Its totient is φ = 321139095552.

The previous prime is 1286006380369. The next prime is 1286006380387. The reversal of 1286006380380 is 830836006821.

1286006380380 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 0 + 0 + 638 + 0 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286006380387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5363134 + ... + 5597786.

It is an arithmetic number, because the mean of its divisors is an integer number (17887674420).

Almost surely, 2^{1286006380380} is an apocalyptic number.

1286006380380 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 1286006380380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146520930400).

1286006380380 is an abundant number, since it is smaller than the sum of its proper divisors (3007035480420).

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

1286006380380 is a wasteful number, since it uses less digits than its factorization.

1286006380380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234890 (or 234879 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1286006380380 in words is "one trillion, two hundred eighty-six billion, six million, three hundred eighty thousand, three hundred eighty".