11127677000 has 128 divisors (see below), whose sum is σ = 29386281600. Its totient is φ = 3906784000.

The previous prime is 11127676993. The next prime is 11127677003. The reversal of 11127677000 is 77672111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11127677003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301559 + ... + 336441.

It is an arithmetic number, because the mean of its divisors is an integer number (229580325).

Almost surely, 2^11127677000 is an apocalyptic number.

11127677000 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 11127677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693140800).

11127677000 is an abundant number, since it is smaller than the sum of its proper divisors (18258604600).

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

11127677000 is a wasteful number, since it uses less digits than its factorization.

11127677000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34944 (or 34930 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 11127677000 in words is "eleven billion, one hundred twenty-seven million, six hundred seventy-seven thousand".