11661324480 has 672 divisors, whose sum is σ = 46209508800. Its totient is φ = 2691366912.

The previous prime is 11661324457. The next prime is 11661324481. The reversal of 11661324480 is 8442316611.

11661324480 is a `hidden beast` number, since 1 + 16 + 613 + 24 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661324481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120219792 + ... + 120219888.

It is an arithmetic number, because the mean of its divisors is an integer number (68764150).

Almost surely, 2^11661324480 is an apocalyptic number.

11661324480 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 11661324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23104754400).

11661324480 is an abundant number, since it is smaller than the sum of its proper divisors (34548184320).

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

11661324480 is a wasteful number, since it uses less digits than its factorization.

11661324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11661324480 in words is "eleven billion, six hundred sixty-one million, three hundred twenty-four thousand, four hundred eighty".