11384548560 has 960 divisors, whose sum is σ = 50501767680. Its totient is φ = 2229534720.

The previous prime is 11384548507. The next prime is 11384548561. The reversal of 11384548560 is 6584548311.

11384548560 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 45 + 48 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384548561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117366432 + ... + 117366528.

It is an arithmetic number, because the mean of its divisors is an integer number (52606008).

Almost surely, 2^11384548560 is an apocalyptic number.

11384548560 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 11384548560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25250883840).

11384548560 is an abundant number, since it is smaller than the sum of its proper divisors (39117219120).

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

11384548560 is a wasteful number, since it uses less digits than its factorization.

11384548560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11384548560 in words is "eleven billion, three hundred eighty-four million, five hundred forty-eight thousand, five hundred sixty".