11520013824 has 480 divisors, whose sum is σ = 39814014240. Its totient is φ = 3165388800.

The previous prime is 11520013811. The next prime is 11520013859. The reversal of 11520013824 is 42831002511.

11520013824 is a `hidden beast` number, since 1 + 1 + 520 + 0 + 138 + 2 + 4 = 666.

It is a super-2 number, since 2×11520013824² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24988954 + ... + 24989414.

It is an arithmetic number, because the mean of its divisors is an integer number (82945863).

Almost surely, 2^11520013824 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 11520013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19907007120).

11520013824 is an abundant number, since it is smaller than the sum of its proper divisors (28294000416).

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

11520013824 is a wasteful number, since it uses less digits than its factorization.

11520013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11520013824 in words is "eleven billion, five hundred twenty million, thirteen thousand, eight hundred twenty-four".