581609934360 has 896 divisors, whose sum is σ = 2557059684480. Its totient is φ = 115485917184.

The previous prime is 581609934349. The next prime is 581609934379. The reversal of 581609934360 is 63439906185.

581609934360 is a `hidden beast` number, since 5 + 8 + 160 + 99 + 34 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 581609934297 and 581609934306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45104074 + ... + 45116966.

It is an arithmetic number, because the mean of its divisors is an integer number (2853861255).

Almost surely, 2^581609934360 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 581609934360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278529842240).

581609934360 is an abundant number, since it is smaller than the sum of its proper divisors (1975449750120).

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

581609934360 is a wasteful number, since it uses less digits than its factorization.

581609934360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 581609934360 in words is "five hundred eighty-one billion, six hundred nine million, nine hundred thirty-four thousand, three hundred sixty".