11911927104 has 336 divisors, whose sum is σ = 42733057536. Its totient is φ = 3082060800.

The previous prime is 11911927099. The next prime is 11911927109. The reversal of 11911927104 is 40172911911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11911927099) and next prime (11911927109).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911927109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21776559 + ... + 21777105.

Almost surely, 2^11911927104 is an apocalyptic number.

11911927104 is a gapful number since it is divisible by the number (14) 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 11911927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366528768).

11911927104 is an abundant number, since it is smaller than the sum of its proper divisors (30821130432).

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

11911927104 is a wasteful number, since it uses less digits than its factorization.

11911927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 11911927104 in words is "eleven billion, nine hundred eleven million, nine hundred twenty-seven thousand, one hundred four".