580948749504 has 280 divisors, whose sum is σ = 1757591404800. Its totient is φ = 189696577536.

The previous prime is 580948749421. The next prime is 580948749523. The reversal of 580948749504 is 405947849085.

580948749504 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 4 + 87 + 49 + 504 = 666.

It is a super-2 number, since 2×580948749504² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56381217 + ... + 56391519.

It is an arithmetic number, because the mean of its divisors is an integer number (6277112160).

Almost surely, 2^580948749504 is an apocalyptic number.

580948749504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580948749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878795702400).

580948749504 is an abundant number, since it is smaller than the sum of its proper divisors (1176642655296).

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

580948749504 is a wasteful number, since it uses less digits than its factorization.

580948749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 580948749504 in words is "five hundred eighty billion, nine hundred forty-eight million, seven hundred forty-nine thousand, five hundred four".