13500211080928 has 1152 divisors, whose sum is σ = 36683161804800. Its totient is φ = 4800931430400.

The previous prime is 13500211080919. The next prime is 13500211080929. The reversal of 13500211080928 is 82908011200531.

It is a super-2 number, since 2×13500211080928² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500211080929) 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 191 ways as a sum of consecutive naturals, for example, 70681733313 + ... + 70681733503.

It is an arithmetic number, because the mean of its divisors is an integer number (31843022400).

Almost surely, 2^{13500211080928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500211080928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341580902400).

13500211080928 is an abundant number, since it is smaller than the sum of its proper divisors (23182950723872).

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

13500211080928 is a wasteful number, since it uses less digits than its factorization.

13500211080928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 13500211080928 in words is "thirteen trillion, five hundred billion, two hundred eleven million, eighty thousand, nine hundred twenty-eight".