11380507040 has 96 divisors (see below), whose sum is σ = 30789279360. Its totient is φ = 3894027264.

The previous prime is 11380507037. The next prime is 11380507057. The reversal of 11380507040 is 4070508311.

It is a junction number, because it is equal to n+sod(n) for n = 11380506994 and 11380507012.

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 15 ways as a sum of consecutive naturals, for example, 560099 + ... + 580061.

It is an arithmetic number, because the mean of its divisors is an integer number (320721660).

Almost surely, 2^11380507040 is an apocalyptic number.

11380507040 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 11380507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394639680).

11380507040 is an abundant number, since it is smaller than the sum of its proper divisors (19408772320).

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

11380507040 is a wasteful number, since it uses less digits than its factorization.

11380507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494 (or 20486 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 11380507040 in words is "eleven billion, three hundred eighty million, five hundred seven thousand, forty".