13500073406358 has 480 divisors, whose sum is σ = 40368041683200. Its totient is φ = 3291413304960.

The previous prime is 13500073406353. The next prime is 13500073406359. The reversal of 13500073406358 is 85360437000531.

13500073406358 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 0 + 7 + 3 + 4 + 0 + 635 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500073406353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 284146441 + ... + 284193947.

It is an arithmetic number, because the mean of its divisors is an integer number (84100086840).

Almost surely, 2^{13500073406358} is an apocalyptic number.

13500073406358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500073406358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184020841600).

13500073406358 is an abundant number, since it is smaller than the sum of its proper divisors (26867968276842).

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

13500073406358 is a wasteful number, since it uses less digits than its factorization.

13500073406358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47678 (or 47658 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13500073406358 in words is "thirteen trillion, five hundred billion, seventy-three million, four hundred six thousand, three hundred fifty-eight".