11434556160 has 360 divisors, whose sum is σ = 42336922320. Its totient is φ = 2943295488.

The previous prime is 11434556141. The next prime is 11434556233. The reversal of 11434556160 is 6165543411.

11434556160 is a `hidden beast` number, since 1 + 1 + 4 + 34 + 5 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 3004819 + ... + 3008621.

It is an arithmetic number, because the mean of its divisors is an integer number (117602562).

Almost surely, 2^11434556160 is an apocalyptic number.

11434556160 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 11434556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168461160).

11434556160 is an abundant number, since it is smaller than the sum of its proper divisors (30902366160).

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

11434556160 is an equidigital number, since it uses as much as digits as its factorization.

11434556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11434556160 in words is "eleven billion, four hundred thirty-four million, five hundred fifty-six thousand, one hundred sixty".