11434475520 has 360 divisors, whose sum is σ = 42723187416. Its totient is φ = 2812280832.

The previous prime is 11434475509. The next prime is 11434475543. The reversal of 11434475520 is 2557443411.

11434475520 is a `hidden beast` number, since 1 + 143 + 447 + 55 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 11232608256 = 14208^2 + 105984^2 .

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 23 ways as a sum of consecutive naturals, for example, 9584044 + ... + 9585236.

Almost surely, 2^11434475520 is an apocalyptic number.

11434475520 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 11434475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361593708).

11434475520 is an abundant number, since it is smaller than the sum of its proper divisors (31288711896).

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

11434475520 is a wasteful number, since it uses less digits than its factorization.

11434475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 11434475520 in words is "eleven billion, four hundred thirty-four million, four hundred seventy-five thousand, five hundred twenty".