580100460480 has 560 divisors, whose sum is σ = 2137080084480. Its totient is φ = 149212108800.

The previous prime is 580100460413. The next prime is 580100460497. The reversal of 580100460480 is 84064001085.

580100460480 is a `hidden beast` number, since 58 + 0 + 100 + 460 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 288462675 + ... + 288464685.

Almost surely, 2^580100460480 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 580100460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068540042240).

580100460480 is an abundant number, since it is smaller than the sum of its proper divisors (1556979624000).

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

580100460480 is a wasteful number, since it uses less digits than its factorization.

580100460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 580100460480 in words is "five hundred eighty billion, one hundred million, four hundred sixty thousand, four hundred eighty".