5652736201728 has 1584 divisors, whose sum is σ = 21877133870592. Its totient is φ = 1416252211200.

The previous prime is 5652736201727. The next prime is 5652736201751. The reversal of 5652736201728 is 8271026372565.

5652736201728 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 7 + 3 + 620 + 1 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 (5652736201727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18412821351 + ... + 18412821657.

It is an arithmetic number, because the mean of its divisors is an integer number (13811321888).

Almost surely, 2^{5652736201728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5652736201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938566935296).

5652736201728 is an abundant number, since it is smaller than the sum of its proper divisors (16224397668864).

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

5652736201728 is a wasteful number, since it uses less digits than its factorization.

5652736201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5652736201728 in words is "five trillion, six hundred fifty-two billion, seven hundred thirty-six million, two hundred one thousand, seven hundred twenty-eight".