11558485466880 has 432 divisors, whose sum is σ = 41565620571552. Its totient is φ = 2733709721600.

The previous prime is 11558485466873. The next prime is 11558485466881. The reversal of 11558485466880 is 8866458485511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11558485466881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18746872 + ... + 19353608.

It is an arithmetic number, because the mean of its divisors is an integer number (96216714286).

Almost surely, 2^{11558485466880} is an apocalyptic number.

11558485466880 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 11558485466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20782810285776).

11558485466880 is an abundant number, since it is smaller than the sum of its proper divisors (30007135104672).

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

11558485466880 is a wasteful number, since it uses less digits than its factorization.

11558485466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606824 (or 606799 counting only the distinct ones).

The product of its (nonzero) digits is 294912000, while the sum is 69.

The spelling of 11558485466880 in words is "eleven trillion, five hundred fifty-eight billion, four hundred eighty-five million, four hundred sixty-six thousand, eight hundred eighty".