579101678880 has 384 divisors, whose sum is σ = 1965097532160. Its totient is φ = 142823915520.

The previous prime is 579101678867. The next prime is 579101678917. The reversal of 579101678880 is 88876101975.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278279440 + ... + 278281520.

It is an arithmetic number, because the mean of its divisors is an integer number (5117441490).

Almost surely, 2^579101678880 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 579101678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982548766080).

579101678880 is an abundant number, since it is smaller than the sum of its proper divisors (1385995853280).

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

579101678880 is a wasteful number, since it uses less digits than its factorization.

579101678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 60.

The spelling of 579101678880 in words is "five hundred seventy-nine billion, one hundred one million, six hundred seventy-eight thousand, eight hundred eighty".