11666728400 has 30 divisors (see below), whose sum is σ = 28029315942. Its totient is φ = 4666691200.

The previous prime is 11666728393. The next prime is 11666728417. The reversal of 11666728400 is 482766611.

It can be written as a sum of positive squares in 3 ways, for example, as 13957696 + 11652770704 = 3736^2 + 107948^2 .

It is a super-2 number, since 2×11666728400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14583011 + ... + 14583810.

Almost surely, 2^11666728400 is an apocalyptic number.

11666728400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11666728400 is an abundant number, since it is smaller than the sum of its proper divisors (16362587542).

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

11666728400 is a wasteful number, since it uses less digits than its factorization.

11666728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29166839 (or 29166828 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 11666728400 in words is "eleven billion, six hundred sixty-six million, seven hundred twenty-eight thousand, four hundred".