1352774125728 has 288 divisors, whose sum is σ = 4060515723264. Its totient is φ = 426359425536.

The previous prime is 1352774125723. The next prime is 1352774125753. The reversal of 1352774125728 is 8275214772531.

1352774125728 is a `hidden beast` number, since 1 + 3 + 5 + 27 + 7 + 41 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1352774125721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465990325 + ... + 465993227.

It is an arithmetic number, because the mean of its divisors is an integer number (14099012928).

Almost surely, 2^{1352774125728} is an apocalyptic number.

1352774125728 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 1352774125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030257861632).

1352774125728 is an abundant number, since it is smaller than the sum of its proper divisors (2707741597536).

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

1352774125728 is a wasteful number, since it uses less digits than its factorization.

1352774125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3717 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 1352774125728 in words is "one trillion, three hundred fifty-two billion, seven hundred seventy-four million, one hundred twenty-five thousand, seven hundred twenty-eight".