11558664240 has 160 divisors (see below), whose sum is σ = 36813643776. Its totient is φ = 2998302720.

The previous prime is 11558664209. The next prime is 11558664251. The reversal of 11558664240 is 4246685511.

It is a junction number, because it is equal to n+sod(n) for n = 11558664192 and 11558664201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3767187 + ... + 3770253.

Almost surely, 2^11558664240 is an apocalyptic number.

11558664240 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 11558664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406821888).

11558664240 is an abundant number, since it is smaller than the sum of its proper divisors (25254979536).

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

11558664240 is a wasteful number, since it uses less digits than its factorization.

11558664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11558664240 in words is "eleven billion, five hundred fifty-eight million, six hundred sixty-four thousand, two hundred forty".