13864858512960 has 448 divisors, whose sum is σ = 54188464103424. Its totient is φ = 2924854272000.

The previous prime is 13864858512941. The next prime is 13864858513013. The reversal of 13864858512960 is 6921585846831.

13864858512960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 13864858512891 and 13864858512900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860575305 + ... + 860591415.

It is an arithmetic number, because the mean of its divisors is an integer number (120956393088).

Almost surely, 2^{13864858512960} is an apocalyptic number.

13864858512960 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 13864858512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27094232051712).

13864858512960 is an abundant number, since it is smaller than the sum of its proper divisors (40323605590464).

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

13864858512960 is a wasteful number, since it uses less digits than its factorization.

13864858512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26002 (or 25992 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 13864858512960 in words is "thirteen trillion, eight hundred sixty-four billion, eight hundred fifty-eight million, five hundred twelve thousand, nine hundred sixty".