11877327988900 has 144 divisors (see below), whose sum is σ = 29563253455680. Its totient is φ = 4101733440000.

The previous prime is 11877327988847. The next prime is 11877327988907. The reversal of 11877327988900 is 988972377811.

It is a self number, because there is not a number n which added to its sum of digits gives 11877327988900.

It is not an unprimeable number, because it can be changed into a prime (11877327988907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105986 + ... + 4997785.

It is an arithmetic number, because the mean of its divisors is an integer number (205300371220).

Almost surely, 2^{11877327988900} is an apocalyptic number.

11877327988900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11877327988900 is an abundant number, since it is smaller than the sum of its proper divisors (17685925466780).

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

11877327988900 is a wasteful number, since it uses less digits than its factorization.

11877327988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103886 (or 6103879 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 70.

The spelling of 11877327988900 in words is "eleven trillion, eight hundred seventy-seven billion, three hundred twenty-seven million, nine hundred eighty-eight thousand, nine hundred".