5745570559200 has 576 divisors, whose sum is σ = 20919561062400. Its totient is φ = 1521881395200.

The previous prime is 5745570559181. The next prime is 5745570559279. The reversal of 5745570559200 is 29550755475.

5745570559200 is a `hidden beast` number, since 5 + 7 + 45 + 5 + 7 + 0 + 5 + 592 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750391756 + ... + 2750393844.

It is an arithmetic number, because the mean of its divisors is an integer number (36318682400).

Almost surely, 2^{5745570559200} is an apocalyptic number.

5745570559200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745570559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459780531200).

5745570559200 is an abundant number, since it is smaller than the sum of its proper divisors (15173990503200).

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

5745570559200 is a wasteful number, since it uses less digits than its factorization.

5745570559200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 11025000, while the sum is 54.

The spelling of 5745570559200 in words is "five trillion, seven hundred forty-five billion, five hundred seventy million, five hundred fifty-nine thousand, two hundred".