11557728880 has 80 divisors (see below), whose sum is σ = 28561029120. Its totient is φ = 4337190144.

The previous prime is 11557728863. The next prime is 11557728883. The reversal of 11557728880 is 8882775511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557728883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119649 + ... + 193471.

It is an arithmetic number, because the mean of its divisors is an integer number (357012864).

Almost surely, 2^11557728880 is an apocalyptic number.

11557728880 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 11557728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280514560).

11557728880 is an abundant number, since it is smaller than the sum of its proper divisors (17003300240).

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

11557728880 is a wasteful number, since it uses less digits than its factorization.

11557728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73958 (or 73952 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 52.

The spelling of 11557728880 in words is "eleven billion, five hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred eighty".