11540130624 has 336 divisors, whose sum is σ = 38233990080. Its totient is φ = 3291217920.

The previous prime is 11540130601. The next prime is 11540130629. The reversal of 11540130624 is 42603104511.

It is a happy number.

11540130624 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 1 + 30 + 624 = 666.

11540130624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 107425²-1.

It is a super-2 number, since 2×11540130624² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540130629) by changing a digit.

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, 30938502 + ... + 30938874.

Almost surely, 2^11540130624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11540130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116995040).

11540130624 is an abundant number, since it is smaller than the sum of its proper divisors (26693859456).

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

11540130624 is a wasteful number, since it uses less digits than its factorization.

11540130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11540130624 in words is "eleven billion, five hundred forty million, one hundred thirty thousand, six hundred twenty-four".