13578500107872 has 288 divisors, whose sum is σ = 45563571615744. Its totient is φ = 3753608601600.

The previous prime is 13578500107813. The next prime is 13578500107873. The reversal of 13578500107872 is 27870100587531.

13578500107872 is a `hidden beast` number, since 1 + 3 + 57 + 8 + 500 + 1 + 0 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578500107873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323145808 + ... + 323187824.

It is an arithmetic number, because the mean of its divisors is an integer number (158206845888).

Almost surely, 2^{13578500107872} is an apocalyptic number.

13578500107872 is a gapful number since it is divisible by the number (12) 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 13578500107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781785807872).

13578500107872 is an abundant number, since it is smaller than the sum of its proper divisors (31985071507872).

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

13578500107872 is a wasteful number, since it uses less digits than its factorization.

13578500107872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47242 (or 47231 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 13578500107872 in words is "thirteen trillion, five hundred seventy-eight billion, five hundred million, one hundred seven thousand, eight hundred seventy-two".