11582508416 has 64 divisors (see below), whose sum is σ = 23965308000. Its totient is φ = 5571219456.

The previous prime is 11582508397. The next prime is 11582508439. The reversal of 11582508416 is 61480528511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407765 + ... + 435243.

Almost surely, 2^11582508416 is an apocalyptic number.

11582508416 is a gapful number since it is divisible by the number (16) 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 11582508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982654000).

11582508416 is an abundant number, since it is smaller than the sum of its proper divisors (12382799584).

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

11582508416 is an equidigital number, since it uses as much as digits as its factorization.

11582508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27619 (or 27607 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The spelling of 11582508416 in words is "eleven billion, five hundred eighty-two million, five hundred eight thousand, four hundred sixteen".