579087970560 has 432 divisors, whose sum is σ = 2300775946560. Its totient is φ = 132995727360.

The previous prime is 579087970553. The next prime is 579087970577. The reversal of 579087970560 is 65079780975.

579087970560 is a `hidden beast` number, since 579 + 0 + 8 + 7 + 9 + 7 + 0 + 56 + 0 = 666.

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, 2287422 + ... + 2527938.

Almost surely, 2^579087970560 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 579087970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150387973280).

579087970560 is an abundant number, since it is smaller than the sum of its proper divisors (1721687976000).

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

579087970560 is a wasteful number, since it uses less digits than its factorization.

579087970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240574 (or 240557 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 579087970560 in words is "five hundred seventy-nine billion, eighty-seven million, nine hundred seventy thousand, five hundred sixty".