11105625564 has 72 divisors (see below), whose sum is σ = 32426070768. Its totient is φ = 3167377920.

The previous prime is 11105625563. The next prime is 11105625569. The reversal of 11105625564 is 46552650111.

11105625564 is a `hidden beast` number, since 11 + 10 + 5 + 625 + 5 + 6 + 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 (11105625563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818107 + ... + 831570.

It is an arithmetic number, because the mean of its divisors is an integer number (450362094).

Almost surely, 2^11105625564 is an apocalyptic number.

It is an amenable number.

11105625564 is an abundant number, since it is smaller than the sum of its proper divisors (21320445204).

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

11105625564 is a wasteful number, since it uses less digits than its factorization.

11105625564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649715 (or 1649710 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11105625564 in words is "eleven billion, one hundred five million, six hundred twenty-five thousand, five hundred sixty-four".