10831563005956 has 405 divisors, whose sum is σ = 25239991045479. Its totient is φ = 4063892263200.

The previous prime is 10831563005909. The next prime is 10831563005957. The reversal of 10831563005956 is 65950036513801.

The square root of 10831563005956 is 3291134.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (10831563005957) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 152557225401 + ... + 152557225471.

Almost surely, 2^{10831563005956} is an apocalyptic number.

10831563005956 is the 3291134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10831563005956

10831563005956 is an abundant number, since it is smaller than the sum of its proper divisors (14408428039523).

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

10831563005956 is an frugal number, since it uses more digits than its factorization.

10831563005956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 10831563005956 in words is "ten trillion, eight hundred thirty-one billion, five hundred sixty-three million, five thousand, nine hundred fifty-six".