5180578560 has 360 divisors, whose sum is σ = 19187395920. Its totient is φ = 1333075968.

The previous prime is 5180578549. The next prime is 5180578567. The reversal of 5180578560 is 658750815.

5180578560 is a `hidden beast` number, since 5 + 1 + 80 + 5 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5180578567) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3005859 + ... + 3007581.

It is an arithmetic number, because the mean of its divisors is an integer number (53298322).

Almost surely, 2^5180578560 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 5180578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593697960).

5180578560 is an abundant number, since it is smaller than the sum of its proper divisors (14006817360).

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

5180578560 is a wasteful number, since it uses less digits than its factorization.

5180578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5180578560 is about 71976.2360783057. The cubic root of 5180578560 is about 1730.3186466857.

It can be divided in two parts, 5180 and 578560, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 5180578560 in words is "five billion, one hundred eighty million, five hundred seventy-eight thousand, five hundred sixty".