11310559882720 has 384 divisors, whose sum is σ = 31729410865152. Its totient is φ = 3730174156800.

The previous prime is 11310559882697. The next prime is 11310559882747. The reversal of 11310559882720 is 2728895501311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762827947 + ... + 762842773.

It is an arithmetic number, because the mean of its divisors is an integer number (82628674128).

Almost surely, 2^{11310559882720} is an apocalyptic number.

11310559882720 is a gapful number since it is divisible by the number (10) 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 11310559882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864705432576).

11310559882720 is an abundant number, since it is smaller than the sum of its proper divisors (20418850982432).

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

11310559882720 is a wasteful number, since it uses less digits than its factorization.

11310559882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154 (or 15146 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 11310559882720 in words is "eleven trillion, three hundred ten billion, five hundred fifty-nine million, eight hundred eighty-two thousand, seven hundred twenty".