13564198857160 has 192 divisors, whose sum is σ = 35896945996800. Its totient is φ = 4599135830016.

The previous prime is 13564198857149. The next prime is 13564198857161. The reversal of 13564198857160 is 6175889146531.

It is a super-3 number, since 3×13564198857160³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13564198857092 and 13564198857101.

It is not an unprimeable number, because it can be changed into a prime (13564198857161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69920217 + ... + 70113943.

It is an arithmetic number, because the mean of its divisors is an integer number (186963260400).

Almost surely, 2^{13564198857160} is an apocalyptic number.

13564198857160 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 13564198857160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948472998400).

13564198857160 is an abundant number, since it is smaller than the sum of its proper divisors (22332747139640).

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

13564198857160 is a wasteful number, since it uses less digits than its factorization.

13564198857160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194148 (or 194137 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 64.

The spelling of 13564198857160 in words is "thirteen trillion, five hundred sixty-four billion, one hundred ninety-eight million, eight hundred fifty-seven thousand, one hundred sixty".