581198546160 has 320 divisors, whose sum is σ = 2033733404160. Its totient is φ = 152531527680.

The previous prime is 581198546083. The next prime is 581198546167. The reversal of 581198546160 is 61645891185.

581198546160 is a `hidden beast` number, since 5 + 8 + 1 + 1 + 98 + 546 + 1 + 6 + 0 = 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 = 581198546097 and 581198546106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581198546167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77417127 + ... + 77424633.

It is an arithmetic number, because the mean of its divisors is an integer number (6355416888).

Almost surely, 2^581198546160 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 581198546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016866702080).

581198546160 is an abundant number, since it is smaller than the sum of its proper divisors (1452534858000).

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

581198546160 is a wasteful number, since it uses less digits than its factorization.

581198546160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 581198546160 in words is "five hundred eighty-one billion, one hundred ninety-eight million, five hundred forty-six thousand, one hundred sixty".