1005731258368 has 112 divisors (see below), whose sum is σ = 2130141251520. Its totient is φ = 473816825856.

The previous prime is 1005731258227. The next prime is 1005731258473. The reversal of 1005731258368 is 8638521375001.

It is a super-2 number, since 2×1005731258368² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12584038 + ... + 12663706.

Almost surely, 2^{1005731258368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005731258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065070625760).

1005731258368 is an abundant number, since it is smaller than the sum of its proper divisors (1124409993152).

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

1005731258368 is an frugal number, since it uses more digits than its factorization.

1005731258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79785 (or 79761 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 1005731258368 in words is "one trillion, five billion, seven hundred thirty-one million, two hundred fifty-eight thousand, three hundred sixty-eight".