11555260416 has 576 divisors, whose sum is σ = 41211555840. Its totient is φ = 3165143040.

The previous prime is 11555260397. The next prime is 11555260427. The reversal of 11555260416 is 61406255511.

11555260416 is a `hidden beast` number, since 1 + 1 + 5 + 552 + 60 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 107993035 + ... + 107993141.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^11555260416 is an apocalyptic number.

11555260416 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 11555260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605777920).

11555260416 is an abundant number, since it is smaller than the sum of its proper divisors (29656295424).

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

11555260416 is an equidigital number, since it uses as much as digits as its factorization.

11555260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11555260416 in words is "eleven billion, five hundred fifty-five million, two hundred sixty thousand, four hundred sixteen".