11640530200 has 96 divisors (see below), whose sum is σ = 29225473200. Its totient is φ = 4286338560.

The previous prime is 11640530189. The next prime is 11640530203. The reversal of 11640530200 is 203504611.

It is a super-2 number, since 2×11640530200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640530203) 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, 979494 + ... + 991306.

Almost surely, 2^11640530200 is an apocalyptic number.

11640530200 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 11640530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612736600).

11640530200 is an abundant number, since it is smaller than the sum of its proper divisors (17584943000).

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

11640530200 is a wasteful number, since it uses less digits than its factorization.

11640530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12221 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 11640530200 in words is "eleven billion, six hundred forty million, five hundred thirty thousand, two hundred".