581974450560 has 640 divisors, whose sum is σ = 2194901280000. Its totient is φ = 146543136768.

The previous prime is 581974450549. The next prime is 581974450567. The reversal of 581974450560 is 65054479185.

It is a happy number.

581974450560 is a `hidden beast` number, since 5 + 8 + 1 + 9 + 74 + 4 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×581974450560² (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 junction number, because it is equal to n+sod(n) for n = 581974450497 and 581974450506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581974450567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 373299061 + ... + 373300619.

It is an arithmetic number, because the mean of its divisors is an integer number (3429533250).

Almost surely, 2^581974450560 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 581974450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097450640000).

581974450560 is an abundant number, since it is smaller than the sum of its proper divisors (1612926829440).

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

581974450560 is a wasteful number, since it uses less digits than its factorization.

581974450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 581974450560 in words is "five hundred eighty-one billion, nine hundred seventy-four million, four hundred fifty thousand, five hundred sixty".