11590232016 has 120 divisors (see below), whose sum is σ = 33017734944. Its totient is φ = 3474493440.

The previous prime is 11590231999. The next prime is 11590232033. The reversal of 11590232016 is 61023209511.

It is an interprime number because it is at equal distance from previous prime (11590231999) and next prime (11590232033).

It is a super-3 number, since 3×11590232016³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966786 + ... + 4969118.

Almost surely, 2^11590232016 is an apocalyptic number.

11590232016 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 11590232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508867472).

11590232016 is an abundant number, since it is smaller than the sum of its proper divisors (21427502928).

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

11590232016 is a wasteful number, since it uses less digits than its factorization.

11590232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 11590232016 in words is "eleven billion, five hundred ninety million, two hundred thirty-two thousand, sixteen".