581028396480 has 1568 divisors, whose sum is σ = 2544705461760. Its totient is φ = 123350999040.

The previous prime is 581028396451. The next prime is 581028396547. The reversal of 581028396480 is 84693820185.

581028396480 is a `hidden beast` number, since 5 + 81 + 0 + 2 + 83 + 9 + 6 + 480 = 666.

It is a super-2 number, since 2×581028396480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1892600487 + ... + 1892600793.

Almost surely, 2^581028396480 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 581028396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272352730880).

581028396480 is an abundant number, since it is smaller than the sum of its proper divisors (1963677065280).

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

581028396480 is a wasteful number, since it uses less digits than its factorization.

581028396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 581028396480 in words is "five hundred eighty-one billion, twenty-eight million, three hundred ninety-six thousand, four hundred eighty".