11332258560 has 576 divisors, whose sum is σ = 46426598400. Its totient is φ = 2563964928.

The previous prime is 11332258543. The next prime is 11332258603. The reversal of 11332258560 is 6585223311.

11332258560 is a `hidden beast` number, since 1 + 13 + 3 + 2 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33626712 + ... + 33627048.

Almost surely, 2^11332258560 is an apocalyptic number.

11332258560 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 11332258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213299200).

11332258560 is an abundant number, since it is smaller than the sum of its proper divisors (35094339840).

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

11332258560 is a wasteful number, since it uses less digits than its factorization.

11332258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11332258560 in words is "eleven billion, three hundred thirty-two million, two hundred fifty-eight thousand, five hundred sixty".