11600604960 has 288 divisors, whose sum is σ = 42768637632. Its totient is φ = 2635315200.

The previous prime is 11600604949. The next prime is 11600604989. The reversal of 11600604960 is 6940600611.

11600604960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 4067535 + ... + 4070385.

It is an arithmetic number, because the mean of its divisors is an integer number (148502214).

Almost surely, 2^11600604960 is an apocalyptic number.

11600604960 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 11600604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384318816).

11600604960 is an abundant number, since it is smaller than the sum of its proper divisors (31168032672).

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

11600604960 is a wasteful number, since it uses less digits than its factorization.

11600604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11600604960 in words is "eleven billion, six hundred million, six hundred four thousand, nine hundred sixty".