11580689200 has 120 divisors (see below), whose sum is σ = 28746093168. Its totient is φ = 4480035840.

The previous prime is 11580689173. The next prime is 11580689201. The reversal of 11580689200 is 298608511.

It is a super-2 number, since 2×11580689200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11580689201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558139 + ... + 2562661.

Almost surely, 2^11580689200 is an apocalyptic number.

11580689200 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 11580689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373046584).

11580689200 is an abundant number, since it is smaller than the sum of its proper divisors (17165403968).

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

11580689200 is a wasteful number, since it uses less digits than its factorization.

11580689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 11580689200 in words is "eleven billion, five hundred eighty million, six hundred eighty-nine thousand, two hundred".