11504509380 has 1008 divisors, whose sum is σ = 48388596480. Its totient is φ = 2241727488.

The previous prime is 11504509369. The next prime is 11504509381. The reversal of 11504509380 is 8390540511.

11504509380 is a `hidden beast` number, since 11 + 504 + 50 + 93 + 8 + 0 = 666.

11504509380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11504509381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 396707206 + ... + 396707234.

It is an arithmetic number, because the mean of its divisors is an integer number (48004560).

Almost surely, 2^11504509380 is an apocalyptic number.

11504509380 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 11504509380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194298240).

11504509380 is an abundant number, since it is smaller than the sum of its proper divisors (36884087100).

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

11504509380 is a wasteful number, since it uses less digits than its factorization.

11504509380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11504509380 in words is "eleven billion, five hundred four million, five hundred nine thousand, three hundred eighty".