13568128270452 has 288 divisors, whose sum is σ = 41334397977600. Its totient is φ = 3837357768384.

The previous prime is 13568128270429. The next prime is 13568128270453. The reversal of 13568128270452 is 25407282186531.

It is a happy number.

13568128270452 is a `hidden beast` number, since 1 + 3 + 5 + 68 + 128 + 2 + 7 + 0 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13568128270453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994429683 + ... + 1994436485.

It is an arithmetic number, because the mean of its divisors is an integer number (143522215200).

Almost surely, 2^{13568128270452} is an apocalyptic number.

13568128270452 is a gapful number since it is divisible by the number (12) 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 13568128270452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667198988800).

13568128270452 is an abundant number, since it is smaller than the sum of its proper divisors (27766269707148).

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

13568128270452 is a wasteful number, since it uses less digits than its factorization.

13568128270452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 13568128270452 in words is "thirteen trillion, five hundred sixty-eight billion, one hundred twenty-eight million, two hundred seventy thousand, four hundred fifty-two".