11590570018368 has 336 divisors, whose sum is σ = 36786067306560. Its totient is φ = 3460007116800.

The previous prime is 11590570018367. The next prime is 11590570018369. The reversal of 11590570018368 is 86381007509511.

It is a happy number.

11590570018368 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 570 + 0 + 1 + 8 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (11590570018367) and next prime (11590570018369).

It is not an unprimeable number, because it can be changed into a prime (11590570018367) 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, 113661228 + ... + 113763156.

Almost surely, 2^{11590570018368} is an apocalyptic number.

11590570018368 is a gapful number since it is divisible by the number (18) 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 11590570018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393033653280).

11590570018368 is an abundant number, since it is smaller than the sum of its proper divisors (25195497288192).

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

11590570018368 is a wasteful number, since it uses less digits than its factorization.

11590570018368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102226 (or 102213 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 11590570018368 in words is "eleven trillion, five hundred ninety billion, five hundred seventy million, eighteen thousand, three hundred sixty-eight".