11664199680 has 416 divisors, whose sum is σ = 43864967424. Its totient is φ = 2590507008.

The previous prime is 11664199627. The next prime is 11664199697. The reversal of 11664199680 is 8699146611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15912594 + ... + 15913326.

Almost surely, 2^11664199680 is an apocalyptic number.

11664199680 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 11664199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21932483712).

11664199680 is an abundant number, since it is smaller than the sum of its proper divisors (32200767744).

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

11664199680 is an equidigital number, since it uses as much as digits as its factorization.

11664199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 11664199680 in words is "eleven billion, six hundred sixty-four million, one hundred ninety-nine thousand, six hundred eighty".