580278349538496 has 2352 divisors, whose sum is σ = 2250294326834400. Its totient is φ = 147041270562816.

The previous prime is 580278349538471. The next prime is 580278349538519. The reversal of 580278349538496 is 694835943872085.

580278349538496 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 7 + 8 + 3 + 4 + 95 + 38 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 145469626870 + ... + 145469630858.

Almost surely, 2^{580278349538496} is an apocalyptic number.

580278349538496 is a gapful number since it is divisible by the number (56) 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 580278349538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125147163417200).

580278349538496 is an abundant number, since it is smaller than the sum of its proper divisors (1670015977295904).

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

580278349538496 is a wasteful number, since it uses less digits than its factorization.

580278349538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 81.

The spelling of 580278349538496 in words is "five hundred eighty trillion, two hundred seventy-eight billion, three hundred forty-nine million, five hundred thirty-eight thousand, four hundred ninety-six".