579871852560 has 2880 divisors, whose sum is σ = 2849010151680. Its totient is φ = 108637562880.

The previous prime is 579871852559. The next prime is 579871852583. The reversal of 579871852560 is 65258178975.

579871852560 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 7 + 18 + 52 + 560 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13485391899 + ... + 13485391941.

It is an arithmetic number, because the mean of its divisors is an integer number (989239636).

Almost surely, 2^579871852560 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 579871852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424505075840).

579871852560 is an abundant number, since it is smaller than the sum of its proper divisors (2269138299120).

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

579871852560 is a wasteful number, since it uses less digits than its factorization.

579871852560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 579871852560 in words is "five hundred seventy-nine billion, eight hundred seventy-one million, eight hundred fifty-two thousand, five hundred sixty".