11680471296 has 288 divisors, whose sum is σ = 37825773440. Its totient is φ = 3533414400.

The previous prime is 11680471291. The next prime is 11680471343. The reversal of 11680471296 is 69217408611.

11680471296 is a `hidden beast` number, since 1 + 16 + 80 + 471 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11680471291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5480151 + ... + 5482281.

Almost surely, 2^11680471296 is an apocalyptic number.

11680471296 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 11680471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912886720).

11680471296 is an abundant number, since it is smaller than the sum of its proper divisors (26145302144).

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

11680471296 is a wasteful number, since it uses less digits than its factorization.

11680471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11680471296 in words is "eleven billion, six hundred eighty million, four hundred seventy-one thousand, two hundred ninety-six".