11147527104 has 224 divisors, whose sum is σ = 34414212096. Its totient is φ = 3118940160.

The previous prime is 11147527103. The next prime is 11147527109. The reversal of 11147527104 is 40172574111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147527103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18798232 + ... + 18798824.

Almost surely, 2^11147527104 is an apocalyptic number.

11147527104 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 11147527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207106048).

11147527104 is an abundant number, since it is smaller than the sum of its proper divisors (23266684992).

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

11147527104 is a wasteful number, since it uses less digits than its factorization.

11147527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 11147527104 in words is "eleven billion, one hundred forty-seven million, five hundred twenty-seven thousand, one hundred four".