13358240089920 has 2016 divisors, whose sum is σ = 53970065735040. Its totient is φ = 3121667112960.

The previous prime is 13358240089903. The next prime is 13358240089927. The reversal of 13358240089920 is 2998004285331.

13358240089920 is a `hidden beast` number, since 1 + 33 + 582 + 4 + 0 + 0 + 8 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13358240089927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137713815312 + ... + 137713815408.

It is an arithmetic number, because the mean of its divisors is an integer number (26770865940).

Almost surely, 2^{13358240089920} is an apocalyptic number.

13358240089920 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 13358240089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26985032867520).

13358240089920 is an abundant number, since it is smaller than the sum of its proper divisors (40611825645120).

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

13358240089920 is an frugal number, since it uses more digits than its factorization.

13358240089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13358240089920 in words is "thirteen trillion, three hundred fifty-eight billion, two hundred forty million, eighty-nine thousand, nine hundred twenty".