11356544540 has 96 divisors (see below), whose sum is σ = 26387944128. Its totient is φ = 4105094400.

The previous prime is 11356544533. The next prime is 11356544567. The reversal of 11356544540 is 4544565311.

11356544540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11356544540² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11356544494 and 11356544503.

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 31 ways as a sum of consecutive naturals, for example, 4817042 + ... + 4819398.

It is an arithmetic number, because the mean of its divisors is an integer number (274874418).

Almost surely, 2^11356544540 is an apocalyptic number.

11356544540 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 11356544540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193972064).

11356544540 is an abundant number, since it is smaller than the sum of its proper divisors (15031399588).

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

11356544540 is a wasteful number, since it uses less digits than its factorization.

11356544540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 11356544540 in words is "eleven billion, three hundred fifty-six million, five hundred forty-four thousand, five hundred forty".