11434106880 has 672 divisors, whose sum is σ = 47513321280. Its totient is φ = 2601123840.

The previous prime is 11434106647. The next prime is 11434106897. The reversal of 11434106880 is 8860143411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54189975 + ... + 54190185.

Almost surely, 2^11434106880 is an apocalyptic number.

11434106880 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 11434106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756660640).

11434106880 is an abundant number, since it is smaller than the sum of its proper divisors (36079214400).

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

11434106880 is an equidigital number, since it uses as much as digits as its factorization.

11434106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11434106880 in words is "eleven billion, four hundred thirty-four million, one hundred six thousand, eight hundred eighty".