11664744833280 has 576 divisors, whose sum is σ = 46461761740800. Its totient is φ = 2423067279360.

The previous prime is 11664744833197. The next prime is 11664744833333. The reversal of 11664744833280 is 8233844746611.

It is a self number, because there is not a number n which added to its sum of digits gives 11664744833280.

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, 1676206441 + ... + 1676213399.

It is an arithmetic number, because the mean of its divisors is an integer number (80662780800).

Almost surely, 2^{11664744833280} is an apocalyptic number.

11664744833280 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 11664744833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23230880870400).

11664744833280 is an abundant number, since it is smaller than the sum of its proper divisors (34797016907520).

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

11664744833280 is a wasteful number, since it uses less digits than its factorization.

11664744833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12656 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 11664744833280 in words is "eleven trillion, six hundred sixty-four billion, seven hundred forty-four million, eight hundred thirty-three thousand, two hundred eighty".