11052505584 has 60 divisors (see below), whose sum is σ = 31279248000. Its totient is φ = 3642769152.

The previous prime is 11052505531. The next prime is 11052505589. The reversal of 11052505584 is 48550525011.

11052505584 is a `hidden beast` number, since 1 + 1 + 0 + 52 + 50 + 558 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052505589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418384 + ... + 444015.

It is an arithmetic number, because the mean of its divisors is an integer number (521320800).

Almost surely, 2^11052505584 is an apocalyptic number.

It is an amenable number.

11052505584 is an abundant number, since it is smaller than the sum of its proper divisors (20226742416).

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

11052505584 is a wasteful number, since it uses less digits than its factorization.

11052505584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862502 (or 862493 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 11052 and 505584, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 11052505584 in words is "eleven billion, fifty-two million, five hundred five thousand, five hundred eighty-four".