13064842602720 has 480 divisors, whose sum is σ = 48556236516480. Its totient is φ = 3299130362880.

The previous prime is 13064842602689. The next prime is 13064842602733. The reversal of 13064842602720 is 2720624846031.

It is a happy number.

13064842602720 is a `hidden beast` number, since 1 + 30 + 6 + 4 + 8 + 4 + 2 + 602 + 7 + 2 + 0 = 666.

13064842602720 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 (480).

It is a super-2 number, since 2×13064842602720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 623222959 + ... + 623243921.

It is an arithmetic number, because the mean of its divisors is an integer number (101158826076).

Almost surely, 2^{13064842602720} is an apocalyptic number.

13064842602720 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 13064842602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278118258240).

13064842602720 is an abundant number, since it is smaller than the sum of its proper divisors (35491393913760).

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

13064842602720 is a wasteful number, since it uses less digits than its factorization.

13064842602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23523 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 13064842602720 in words is "thirteen trillion, sixty-four billion, eight hundred forty-two million, six hundred two thousand, seven hundred twenty".