11682808040 has 64 divisors (see below), whose sum is σ = 26588595600. Its totient is φ = 4619501568.

The previous prime is 11682808013. The next prime is 11682808057. The reversal of 11682808040 is 4080828611.

It can be written as a sum of positive squares in 8 ways, for example, as 52911076 + 11629896964 = 7274^2 + 107842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11682807985 and 11682808003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465852 + ... + 5467988.

Almost surely, 2^11682808040 is an apocalyptic number.

11682808040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682808040 is an abundant number, since it is smaller than the sum of its proper divisors (14905787560).

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

11682808040 is a wasteful number, since it uses less digits than its factorization.

11682808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The spelling of 11682808040 in words is "eleven billion, six hundred eighty-two million, eight hundred eight thousand, forty".