11506535040 has 512 divisors, whose sum is σ = 49252976640. Its totient is φ = 2206679040.

The previous prime is 11506535039. The next prime is 11506535057. The reversal of 11506535040 is 4053560511.

11506535040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11506534989 and 11506535007.

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 63 ways as a sum of consecutive naturals, for example, 1918927 + ... + 1924913.

It is an arithmetic number, because the mean of its divisors is an integer number (96197220).

Almost surely, 2^11506535040 is an apocalyptic number.

11506535040 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 11506535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24626488320).

11506535040 is an abundant number, since it is smaller than the sum of its proper divisors (37746441600).

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

11506535040 is a wasteful number, since it uses less digits than its factorization.

11506535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 11506535040 in words is "eleven billion, five hundred six million, five hundred thirty-five thousand, forty".