581878061280 has 288 divisors, whose sum is σ = 2093339233440. Its totient is φ = 146777702400.

The previous prime is 581878061263. The next prime is 581878061321. The reversal of 581878061280 is 82160878185.

581878061280 is a `hidden beast` number, since 5 + 8 + 18 + 7 + 8 + 0 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 18397480 + ... + 18429080.

It is an arithmetic number, because the mean of its divisors is an integer number (7268539005).

Almost surely, 2^581878061280 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 581878061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046669616720).

581878061280 is an abundant number, since it is smaller than the sum of its proper divisors (1511461172160).

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

581878061280 is a wasteful number, since it uses less digits than its factorization.

581878061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32314 (or 32303 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 581878061280 in words is "five hundred eighty-one billion, eight hundred seventy-eight million, sixty-one thousand, two hundred eighty".