5772672835160 has 768 divisors, whose sum is σ = 17069488128000. Its totient is φ = 1718657740800.

The previous prime is 5772672835123. The next prime is 5772672835169. The reversal of 5772672835160 is 615382762775.

It is a super-4 number, since 4×5772672835160⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5772672835160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772672835169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13711811750 + ... + 13711812170.

It is an arithmetic number, because the mean of its divisors is an integer number (22225896000).

Almost surely, 2^{5772672835160} 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 5772672835160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534744064000).

5772672835160 is an abundant number, since it is smaller than the sum of its proper divisors (11296815292840).

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

5772672835160 is a wasteful number, since it uses less digits than its factorization.

5772672835160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 59.

The spelling of 5772672835160 in words is "five trillion, seven hundred seventy-two billion, six hundred seventy-two million, eight hundred thirty-five thousand, one hundred sixty".