5743585013760 has 1456 divisors, whose sum is σ = 23120474636448. Its totient is φ = 1356831129600.

The previous prime is 5743585013743. The next prime is 5743585013791. The reversal of 5743585013760 is 673105853475.

5743585013760 is a `hidden beast` number, since 5 + 7 + 43 + 5 + 8 + 501 + 37 + 60 = 666.

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 = 5743585013697 and 5743585013706.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 6733393494 + ... + 6733394346.

Almost surely, 2^{5743585013760} 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 5743585013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560237318224).

5743585013760 is an abundant number, since it is smaller than the sum of its proper divisors (17376889622688).

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

5743585013760 is an equidigital number, since it uses as much as digits as its factorization.

5743585013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 5743585013760 in words is "five trillion, seven hundred forty-three billion, five hundred eighty-five million, thirteen thousand, seven hundred sixty".