1006777830912 has 320 divisors, whose sum is σ = 3203764945920. Its totient is φ = 274860343296.

The previous prime is 1006777830881. The next prime is 1006777830931. The reversal of 1006777830912 is 2190387776001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30228733 + ... + 30262019.

It is an arithmetic number, because the mean of its divisors is an integer number (10011765456).

Almost surely, 2^{1006777830912} is an apocalyptic number.

1006777830912 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 1006777830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601882472960).

1006777830912 is an abundant number, since it is smaller than the sum of its proper divisors (2196987115008).

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

1006777830912 is an equidigital number, since it uses as much as digits as its factorization.

1006777830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33441 (or 33425 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 1006777830912 in words is "one trillion, six billion, seven hundred seventy-seven million, eight hundred thirty thousand, nine hundred twelve".