11658385489920 has 1088 divisors, whose sum is σ = 43035042645504. Its totient is φ = 2669590609920.

The previous prime is 11658385489847. The next prime is 11658385489921. The reversal of 11658385489920 is 2998458385611.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11658385489921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22376939260 + ... + 22376939780.

Almost surely, 2^{11658385489920} is an apocalyptic number.

11658385489920 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 11658385489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517521322752).

11658385489920 is an abundant number, since it is smaller than the sum of its proper divisors (31376657155584).

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

11658385489920 is a wasteful number, since it uses less digits than its factorization.

11658385489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 11658385489920 in words is "eleven trillion, six hundred fifty-eight billion, three hundred eighty-five million, four hundred eighty-nine thousand, nine hundred twenty".