11010505752 has 96 divisors (see below), whose sum is σ = 30138544800. Its totient is φ = 3631100928.

The previous prime is 11010505747. The next prime is 11010505799. The reversal of 11010505752 is 25750501011.

11010505752 is a `hidden beast` number, since 1 + 101 + 0 + 505 + 7 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825298 + ... + 6826910.

It is an arithmetic number, because the mean of its divisors is an integer number (313943175).

Almost surely, 2^11010505752 is an apocalyptic number.

11010505752 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 11010505752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069272400).

11010505752 is an abundant number, since it is smaller than the sum of its proper divisors (19128039048).

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

11010505752 is a wasteful number, since it uses less digits than its factorization.

11010505752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 11010505752 in words is "eleven billion, ten million, five hundred five thousand, seven hundred fifty-two".