11513435040 has 192 divisors, whose sum is σ = 41386705920. Its totient is φ = 2987228160.

The previous prime is 11513435033. The next prime is 11513435081. The reversal of 11513435040 is 4053431511.

It is a happy number.

11513435040 is a `hidden beast` number, since 1 + 151 + 3 + 4 + 3 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11513434995 and 11513435013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123825 + ... + 195855.

It is an arithmetic number, because the mean of its divisors is an integer number (215555760).

Almost surely, 2^11513435040 is an apocalyptic number.

11513435040 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 11513435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693352960).

11513435040 is an abundant number, since it is smaller than the sum of its proper divisors (29873270880).

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

11513435040 is a wasteful number, since it uses less digits than its factorization.

11513435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72092 (or 72078 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11513435040 its reverse (4053431511), we get a palindrome (15566866551).

The spelling of 11513435040 in words is "eleven billion, five hundred thirteen million, four hundred thirty-five thousand, forty".