13389955464960 has 720 divisors, whose sum is σ = 49749756819840. Its totient is φ = 3434598236160.

The previous prime is 13389955464943. The next prime is 13389955465013. The reversal of 13389955464960 is 6946455998331.

13389955464960 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 9 + 9 + 554 + 6 + 4 + 9 + 60 = 666.

13389955464960 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 (720).

It is a super-2 number, since 2×13389955464960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 814812904 + ... + 814829336.

It is an arithmetic number, because the mean of its divisors is an integer number (69096884472).

Almost surely, 2^{13389955464960} is an apocalyptic number.

13389955464960 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 13389955464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874878409920).

13389955464960 is an abundant number, since it is smaller than the sum of its proper divisors (36359801354880).

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

13389955464960 is a wasteful number, since it uses less digits than its factorization.

13389955464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16743 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 13389955464960 in words is "thirteen trillion, three hundred eighty-nine billion, nine hundred fifty-five million, four hundred sixty-four thousand, nine hundred sixty".