575655345720 has 1344 divisors, whose sum is σ = 2577287704320. Its totient is φ = 114249719808.

The previous prime is 575655345689. The next prime is 575655345743. The reversal of 575655345720 is 27543556575.

575655345720 is a `hidden beast` number, since 5 + 7 + 5 + 65 + 5 + 3 + 4 + 572 + 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 335 ways as a sum of consecutive naturals, for example, 315772729 + ... + 315774551.

It is an arithmetic number, because the mean of its divisors is an integer number (1917624780).

Almost surely, 2^575655345720 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 575655345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288643852160).

575655345720 is an abundant number, since it is smaller than the sum of its proper divisors (2001632358600).

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

575655345720 is a wasteful number, since it uses less digits than its factorization.

575655345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 22050000, while the sum is 54.

The spelling of 575655345720 in words is "five hundred seventy-five billion, six hundred fifty-five million, three hundred forty-five thousand, seven hundred twenty".