1010093982768 has 360 divisors, whose sum is σ = 3352900936320. Its totient is φ = 282425794560.

The previous prime is 1010093982719. The next prime is 1010093982787. The reversal of 1010093982768 is 8672893900101.

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 71 ways as a sum of consecutive naturals, for example, 11955553 + ... + 12039743.

It is an arithmetic number, because the mean of its divisors is an integer number (9313613712).

Almost surely, 2^{1010093982768} is an apocalyptic number.

1010093982768 is a gapful number since it is divisible by the number (18) 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 1010093982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676450468160).

1010093982768 is an abundant number, since it is smaller than the sum of its proper divisors (2342806953552).

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

1010093982768 is a wasteful number, since it uses less digits than its factorization.

1010093982768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84277 (or 84255 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1010093982768 in words is "one trillion, ten billion, ninety-three million, nine hundred eighty-two thousand, seven hundred sixty-eight".