13796810094528 has 448 divisors, whose sum is σ = 45260824896000. Its totient is φ = 4095651299328.

The previous prime is 13796810094517. The next prime is 13796810094563. The reversal of 13796810094528 is 82549001869731.

13796810094528 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 8 + 10 + 0 + 94 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 476082343 + ... + 476111321.

It is an arithmetic number, because the mean of its divisors is an integer number (101028627000).

It is a 1-persistent number, because it is pandigital, but 2⋅13796810094528 = 27593620189056 is not.

Almost surely, 2^{13796810094528} is an apocalyptic number.

13796810094528 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 13796810094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22630412448000).

13796810094528 is an abundant number, since it is smaller than the sum of its proper divisors (31464014801472).

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

13796810094528 is a wasteful number, since it uses less digits than its factorization.

13796810094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29889 (or 29873 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13796810094528 in words is "thirteen trillion, seven hundred ninety-six billion, eight hundred ten million, ninety-four thousand, five hundred twenty-eight".