13702270013568 has 640 divisors, whose sum is σ = 43059253406400. Its totient is φ = 4320280903680.

The previous prime is 13702270013543. The next prime is 13702270013573. The reversal of 13702270013568 is 86531007220731.

13702270013568 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 2 + 2 + 70 + 0 + 13 + 568 = 666.

13702270013568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2540748280 + ... + 2540753672.

Almost surely, 2^{13702270013568} is an apocalyptic number.

13702270013568 is a gapful number since it is divisible by the number (18) 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 13702270013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529626703200).

13702270013568 is an abundant number, since it is smaller than the sum of its proper divisors (29356983392832).

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

13702270013568 is a wasteful number, since it uses less digits than its factorization.

13702270013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13702270013568 in words is "thirteen trillion, seven hundred two billion, two hundred seventy million, thirteen thousand, five hundred sixty-eight".