11778438700 has 108 divisors (see below), whose sum is σ = 30091402152. Its totient is φ = 3989529600.

The previous prime is 11778438677. The next prime is 11778438701. The reversal of 11778438700 is 783487711.

It is a happy number.

11778438700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11778438701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392220 + ... + 421180.

It is an arithmetic number, because the mean of its divisors is an integer number (278624094).

Almost surely, 2^11778438700 is an apocalyptic number.

11778438700 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 11778438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045701076).

11778438700 is an abundant number, since it is smaller than the sum of its proper divisors (18312963452).

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

11778438700 is a wasteful number, since it uses less digits than its factorization.

11778438700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29072 (or 29058 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 46.

The spelling of 11778438700 in words is "eleven billion, seven hundred seventy-eight million, four hundred thirty-eight thousand, seven hundred".