11117671400 has 192 divisors, whose sum is σ = 30319488000. Its totient is φ = 3747859200.

The previous prime is 11117671387. The next prime is 11117671417. The reversal of 11117671400 is 417671111.

11117671400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1961771 + ... + 1967429.

It is an arithmetic number, because the mean of its divisors is an integer number (157914000).

Almost surely, 2^11117671400 is an apocalyptic number.

11117671400 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 11117671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159744000).

11117671400 is an abundant number, since it is smaller than the sum of its proper divisors (19201816600).

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

11117671400 is a wasteful number, since it uses less digits than its factorization.

11117671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 29.

The spelling of 11117671400 in words is "eleven billion, one hundred seventeen million, six hundred seventy-one thousand, four hundred".