11788728600 has 192 divisors, whose sum is σ = 41966064000. Its totient is φ = 2707430400.

The previous prime is 11788728593. The next prime is 11788728617. The reversal of 11788728600 is 682788711.

It is a self number, because there is not a number n which added to its sum of digits gives 11788728600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78396 + ... + 172404.

It is an arithmetic number, because the mean of its divisors is an integer number (218573250).

Almost surely, 2^11788728600 is an apocalyptic number.

11788728600 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 11788728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983032000).

11788728600 is an abundant number, since it is smaller than the sum of its proper divisors (30177335400).

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

11788728600 is a wasteful number, since it uses less digits than its factorization.

11788728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94058 (or 94049 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 11788728600 in words is "eleven billion, seven hundred eighty-eight million, seven hundred twenty-eight thousand, six hundred".