11555512416 has 432 divisors, whose sum is σ = 40871900160. Its totient is φ = 3078673920.

The previous prime is 11555512361. The next prime is 11555512417. The reversal of 11555512416 is 61421555511.

11555512416 is a `hidden beast` number, since 11 + 55 + 551 + 2 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11555512417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19036785 + ... + 19037391.

It is an arithmetic number, because the mean of its divisors is an integer number (94610880).

Almost surely, 2^11555512416 is an apocalyptic number.

11555512416 is a gapful number since it is divisible by the number (16) 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 11555512416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435950080).

11555512416 is an abundant number, since it is smaller than the sum of its proper divisors (29316387744).

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

11555512416 is a wasteful number, since it uses less digits than its factorization.

11555512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The spelling of 11555512416 in words is "eleven billion, five hundred fifty-five million, five hundred twelve thousand, four hundred sixteen".