11677188096 has 360 divisors, whose sum is σ = 40075351680. Its totient is φ = 3328376832.

The previous prime is 11677188077. The next prime is 11677188209. The reversal of 11677188096 is 69088177611.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27868975 + ... + 27869393.

Almost surely, 2^11677188096 is an apocalyptic number.

11677188096 is a gapful number since it is divisible by the number (16) 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 11677188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037675840).

11677188096 is an abundant number, since it is smaller than the sum of its proper divisors (28398163584).

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

11677188096 is an frugal number, since it uses more digits than its factorization.

11677188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11677188096 in words is "eleven billion, six hundred seventy-seven million, one hundred eighty-eight thousand, ninety-six".