575480906561880 has 256 divisors, whose sum is σ = 2107712940480000. Its totient is φ = 138506849579520.

The previous prime is 575480906561849. The next prime is 575480906561887. The reversal of 575480906561880 is 88165609084575.

575480906561880 is a `hidden beast` number, since 5 + 7 + 5 + 480 + 9 + 0 + 6 + 5 + 61 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 575480906561799 and 575480906561808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575480906561887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172597435 + ... + 175900074.

It is an arithmetic number, because the mean of its divisors is an integer number (8233253673750).

Almost surely, 2^{575480906561880} is an apocalyptic number.

It is an amenable number.

575480906561880 is an abundant number, since it is smaller than the sum of its proper divisors (1532232033918120).

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

575480906561880 is a wasteful number, since it uses less digits than its factorization.

575480906561880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348497679 (or 348497669 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 575480906561880 in words is "five hundred seventy-five trillion, four hundred eighty billion, nine hundred six million, five hundred sixty-one thousand, eight hundred eighty".