5723122728960 has 1920 divisors, whose sum is σ = 25742013260040. Its totient is φ = 1205732376576.

The previous prime is 5723122728949. The next prime is 5723122728979. The reversal of 5723122728960 is 698272213275.

5723122728960 is a `hidden beast` number, since 5 + 7 + 231 + 2 + 272 + 89 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5208035180544 + 515087548416 = 2282112^2 + 717696^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 5723122728897 and 5723122728906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8453652142 + ... + 8453652818.

Almost surely, 2^{5723122728960} 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 5723122728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871006630020).

5723122728960 is an abundant number, since it is smaller than the sum of its proper divisors (20018890531080).

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

5723122728960 is an equidigital number, since it uses as much as digits as its factorization.

5723122728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5723122728960 in words is "five trillion, seven hundred twenty-three billion, one hundred twenty-two million, seven hundred twenty-eight thousand, nine hundred sixty".