11506561040 has 120 divisors (see below), whose sum is σ = 29379423168. Its totient is φ = 4188387840.

The previous prime is 11506560977. The next prime is 11506561091. The reversal of 11506561040 is 4016560511.

It is a junction number, because it is equal to n+sod(n) for n = 11506560994 and 11506561012.

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 23 ways as a sum of consecutive naturals, for example, 953927 + ... + 965913.

Almost surely, 2^11506561040 is an apocalyptic number.

11506561040 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 11506561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689711584).

11506561040 is an abundant number, since it is smaller than the sum of its proper divisors (17872862128).

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

11506561040 is a wasteful number, since it uses less digits than its factorization.

11506561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 11506561040 in words is "eleven billion, five hundred six million, five hundred sixty-one thousand, forty".