580478821977600 has 4800 divisors, whose sum is σ = 2848477125795840. Its totient is φ = 113357507788800.

The previous prime is 580478821977559. The next prime is 580478821977617. The reversal of 580478821977600 is 6779128874085.

580478821977600 is a `hidden beast` number, since 5 + 8 + 0 + 4 + 7 + 8 + 8 + 2 + 1 + 9 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67270690086 + ... + 67270698714.

Almost surely, 2^{580478821977600} is an apocalyptic number.

580478821977600 is a gapful number since it is divisible by the number (50) 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 580478821977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424238562897920).

580478821977600 is an abundant number, since it is smaller than the sum of its proper divisors (2267998303818240).

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

580478821977600 is a wasteful number, since it uses less digits than its factorization.

580478821977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 580478821977600 in words is "five hundred eighty trillion, four hundred seventy-eight billion, eight hundred twenty-one million, nine hundred seventy-seven thousand, six hundred".