1282768003620 has 240 divisors, whose sum is σ = 4175454463488. Its totient is φ = 329319198720.

The previous prime is 1282768003619. The next prime is 1282768003637. The reversal of 1282768003620 is 263008672821.

1282768003620 is a `hidden beast` number, since 1 + 282 + 7 + 6 + 8 + 0 + 0 + 362 + 0 = 666.

It is a super-2 number, since 2×1282768003620² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9626287 + ... + 9758633.

Almost surely, 2^{1282768003620} is an apocalyptic number.

1282768003620 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 1282768003620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087727231744).

1282768003620 is an abundant number, since it is smaller than the sum of its proper divisors (2892686459868).

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

1282768003620 is a wasteful number, since it uses less digits than its factorization.

1282768003620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132592 (or 132581 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1282768003620 in words is "one trillion, two hundred eighty-two billion, seven hundred sixty-eight million, three thousand, six hundred twenty".