11788877100 has 576 divisors, whose sum is σ = 47078986752. Its totient is φ = 2198016000.

The previous prime is 11788877083. The next prime is 11788877159. The reversal of 11788877100 is 177888711.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11788877100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11110570 + ... + 11111630.

It is an arithmetic number, because the mean of its divisors is an integer number (81734352).

Almost surely, 2^11788877100 is an apocalyptic number.

11788877100 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 11788877100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539493376).

11788877100 is an abundant number, since it is smaller than the sum of its proper divisors (35290109652).

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

11788877100 is a wasteful number, since it uses less digits than its factorization.

11788877100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 48.

It can be divided in two parts, 11788 and 877100, that added together give a palindrome (888888).

The spelling of 11788877100 in words is "eleven billion, seven hundred eighty-eight million, eight hundred seventy-seven thousand, one hundred".