1005786530112 has 448 divisors, whose sum is σ = 3480212252160. Its totient is φ = 249637404672.

The previous prime is 1005786530107. The next prime is 1005786530113. The reversal of 1005786530112 is 2110356875001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005786530113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85834078 + ... + 85845794.

It is an arithmetic number, because the mean of its divisors is an integer number (7768330920).

Almost surely, 2^{1005786530112} is an apocalyptic number.

1005786530112 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 1005786530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740106126080).

1005786530112 is an abundant number, since it is smaller than the sum of its proper divisors (2474425722048).

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

1005786530112 is a wasteful number, since it uses less digits than its factorization.

1005786530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 1005786530112 in words is "one trillion, five billion, seven hundred eighty-six million, five hundred thirty thousand, one hundred twelve".