11582873680 has 160 divisors (see below), whose sum is σ = 31694042880. Its totient is φ = 3853578240.

The previous prime is 11582873663. The next prime is 11582873699. The reversal of 11582873680 is 8637828511.

It is a congruent number.

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, 14317116 + ... + 14317924.

It is an arithmetic number, because the mean of its divisors is an integer number (198087768).

Almost surely, 2^11582873680 is an apocalyptic number.

11582873680 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 11582873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847021440).

11582873680 is an abundant number, since it is smaller than the sum of its proper divisors (20111169200).

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

11582873680 is a wasteful number, since it uses less digits than its factorization.

11582873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 11582873680 in words is "eleven billion, five hundred eighty-two million, eight hundred seventy-three thousand, six hundred eighty".