11305534500 has 480 divisors, whose sum is σ = 40289689440. Its totient is φ = 2743372800.

The previous prime is 11305534459. The next prime is 11305534589. The reversal of 11305534500 is 543550311.

11305534500 is a `hidden beast` number, since 11 + 305 + 5 + 345 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5489031744 + 5816502756 = 74088^2 + 76266^2 .

It is a super-2 number, since 2×11305534500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57388402 + ... + 57388598.

It is an arithmetic number, because the mean of its divisors is an integer number (83936853).

Almost surely, 2^11305534500 is an apocalyptic number.

11305534500 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 11305534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20144844720).

11305534500 is an abundant number, since it is smaller than the sum of its proper divisors (28984154940).

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

11305534500 is a wasteful number, since it uses less digits than its factorization.

11305534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11305534500 in words is "eleven billion, three hundred five million, five hundred thirty-four thousand, five hundred".