11485027584 has 504 divisors, whose sum is σ = 37532745600. Its totient is φ = 3493601280.

The previous prime is 11485027579. The next prime is 11485027613. The reversal of 11485027584 is 48572058411.

11485027584 is a `hidden beast` number, since 1 + 1 + 48 + 5 + 0 + 27 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 145380057 + ... + 145380135.

Almost surely, 2^11485027584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11485027584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766372800).

11485027584 is an abundant number, since it is smaller than the sum of its proper divisors (26047718016).

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

11485027584 is an frugal number, since it uses more digits than its factorization.

11485027584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 11485027584 in words is "eleven billion, four hundred eighty-five million, twenty-seven thousand, five hundred eighty-four".