11604055680 has 1024 divisors, whose sum is σ = 50667724800. Its totient is φ = 2452488192.

The previous prime is 11604055667. The next prime is 11604055693. The reversal of 11604055680 is 8655040611.

11604055680 is a `hidden beast` number, since 1 + 1 + 60 + 40 + 556 + 8 + 0 = 666.

11604055680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11604055667) and next prime (11604055693).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 119629392 + ... + 119629488.

It is an arithmetic number, because the mean of its divisors is an integer number (49480200).

Almost surely, 2^11604055680 is an apocalyptic number.

11604055680 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 11604055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333862400).

11604055680 is an abundant number, since it is smaller than the sum of its proper divisors (39063669120).

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

11604055680 is a wasteful number, since it uses less digits than its factorization.

11604055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11604055680 in words is "eleven billion, six hundred four million, fifty-five thousand, six hundred eighty".