13025633741568 has 1728 divisors, whose sum is σ = 48786192000000. Its totient is φ = 3324756492288.

The previous prime is 13025633741563. The next prime is 13025633741639. The reversal of 13025633741568 is 86514733652031.

13025633741568 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 5 + 6 + 3 + 3 + 74 + 1 + 568 = 666.

It is a super-2 number, since 2×13025633741568² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13025633741563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26103474183 + ... + 26103474681.

It is an arithmetic number, because the mean of its divisors is an integer number (28232750000).

Almost surely, 2^{13025633741568} is an apocalyptic number.

13025633741568 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 13025633741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393096000000).

13025633741568 is an abundant number, since it is smaller than the sum of its proper divisors (35760558258432).

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

13025633741568 is a wasteful number, since it uses less digits than its factorization.

13025633741568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 13025633741568 in words is "thirteen trillion, twenty-five billion, six hundred thirty-three million, seven hundred forty-one thousand, five hundred sixty-eight".