11000941339752 has 576 divisors, whose sum is σ = 39238996043520. Its totient is φ = 2710683795456.

The previous prime is 11000941339691. The next prime is 11000941339811. The reversal of 11000941339752 is 25793314900011.

11000941339752 is a `hidden beast` number, since 110 + 0 + 0 + 94 + 13 + 397 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11000941339698 and 11000941339707.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259392133 + ... + 259434539.

It is an arithmetic number, because the mean of its divisors is an integer number (68123257020).

Almost surely, 2^{11000941339752} is an apocalyptic number.

11000941339752 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 11000941339752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619498021760).

11000941339752 is an abundant number, since it is smaller than the sum of its proper divisors (28238054703768).

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

11000941339752 is a wasteful number, since it uses less digits than its factorization.

11000941339752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42610 (or 42586 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11000941339752 in words is "eleven trillion, nine hundred forty-one million, three hundred thirty-nine thousand, seven hundred fifty-two".