581720375040 has 288 divisors, whose sum is σ = 2128159165440. Its totient is φ = 132659085312.

The previous prime is 581720375009. The next prime is 581720375077. The reversal of 581720375040 is 40573027185.

It is a super-3 number, since 3×581720375040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 581720374983 and 581720375001.

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 31 ways as a sum of consecutive naturals, for example, 11775672 + ... + 11824968.

Almost surely, 2^581720375040 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 581720375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064079582720).

581720375040 is an abundant number, since it is smaller than the sum of its proper divisors (1546438790400).

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

581720375040 is a wasteful number, since it uses less digits than its factorization.

581720375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49767 (or 49753 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 581720375040 in words is "five hundred eighty-one billion, seven hundred twenty million, three hundred seventy-five thousand, forty".