11646180480 has 512 divisors, whose sum is σ = 43358976000. Its totient is φ = 2627665920.

The previous prime is 11646180457. The next prime is 11646180517. The reversal of 11646180480 is 8408164611.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58523421 + ... + 58523619.

It is an arithmetic number, because the mean of its divisors is an integer number (84685500).

Almost surely, 2^11646180480 is an apocalyptic number.

11646180480 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 11646180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679488000).

11646180480 is an abundant number, since it is smaller than the sum of its proper divisors (31712795520).

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

11646180480 is a wasteful number, since it uses less digits than its factorization.

11646180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11646180480 in words is "eleven billion, six hundred forty-six million, one hundred eighty thousand, four hundred eighty".