5772805945760 has 288 divisors, whose sum is σ = 16032306894912. Its totient is φ = 1958451855360.

The previous prime is 5772805945741. The next prime is 5772805945817. The reversal of 5772805945760 is 675495082775.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362537159 + ... + 362553081.

It is an arithmetic number, because the mean of its divisors is an integer number (55667732274).

Almost surely, 2^{5772805945760} 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 5772805945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016153447456).

5772805945760 is an abundant number, since it is smaller than the sum of its proper divisors (10259500949152).

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

5772805945760 is a wasteful number, since it uses less digits than its factorization.

5772805945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 65.

The spelling of 5772805945760 in words is "five trillion, seven hundred seventy-two billion, eight hundred five million, nine hundred forty-five thousand, seven hundred sixty".