11035652540 has 144 divisors (see below), whose sum is σ = 26705548800. Its totient is φ = 3820502400.

The previous prime is 11035652533. The next prime is 11035652567. The reversal of 11035652540 is 4525653011.

11035652540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11035652497 and 11035652506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18423161 + ... + 18423759.

It is an arithmetic number, because the mean of its divisors is an integer number (185455200).

Almost surely, 2^11035652540 is an apocalyptic number.

11035652540 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 11035652540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352774400).

11035652540 is an abundant number, since it is smaller than the sum of its proper divisors (15669896260).

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

11035652540 is a wasteful number, since it uses less digits than its factorization.

11035652540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 11035652540 in words is "eleven billion, thirty-five million, six hundred fifty-two thousand, five hundred forty".