580400599680 has 192 divisors, whose sum is σ = 2186395679520. Its totient is φ = 140703160320.

The previous prime is 580400599661. The next prime is 580400599693. The reversal of 580400599680 is 86995004085.

It is a happy number.

580400599680 is a `hidden beast` number, since 5 + 8 + 0 + 40 + 0 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×580400599680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4516822 + ... + 4643541.

Almost surely, 2^580400599680 is an apocalyptic number.

It is an amenable number.

580400599680 is an abundant number, since it is smaller than the sum of its proper divisors (1605995079840).

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

580400599680 is a wasteful number, since it uses less digits than its factorization.

580400599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160399 (or 9160384 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 580400599680 in words is "five hundred eighty billion, four hundred million, five hundred ninety-nine thousand, six hundred eighty".