581971600960 has 224 divisors, whose sum is σ = 1467074332800. Its totient is φ = 219562721280.

The previous prime is 581971600943. The next prime is 581971600963. The reversal of 581971600960 is 69006179185.

It is a junction number, because it is equal to n+sod(n) for n = 581971600898 and 581971600907.

It is not an unprimeable number, because it can be changed into a prime (581971600963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89242500 + ... + 89249020.

Almost surely, 2^581971600960 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 581971600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733537166400).

581971600960 is an abundant number, since it is smaller than the sum of its proper divisors (885102731840).

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

581971600960 is a wasteful number, since it uses less digits than its factorization.

581971600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 581971600960 in words is "five hundred eighty-one billion, nine hundred seventy-one million, six hundred thousand, nine hundred sixty".