11512820328 has 128 divisors (see below), whose sum is σ = 31124736000. Its totient is φ = 3537216000.

The previous prime is 11512820303. The next prime is 11512820339. The reversal of 11512820328 is 82302821511.

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, 3834828 + ... + 3837828.

It is an arithmetic number, because the mean of its divisors is an integer number (243162000).

Almost surely, 2^11512820328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512820328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562368000).

11512820328 is an abundant number, since it is smaller than the sum of its proper divisors (19611915672).

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

11512820328 is a wasteful number, since it uses less digits than its factorization.

11512820328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11512820328 in words is "eleven billion, five hundred twelve million, eight hundred twenty thousand, three hundred twenty-eight".