5180820480 has 352 divisors, whose sum is σ = 20091386880. Its totient is φ = 1255587840.

The previous prime is 5180820479. The next prime is 5180820487. The reversal of 5180820480 is 840280815.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5180820487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518937 + ... + 1522343.

Almost surely, 2^5180820480 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 5180820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045693440).

5180820480 is an abundant number, since it is smaller than the sum of its proper divisors (14910566400).

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

5180820480 is a wasteful number, since it uses less digits than its factorization.

5180820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5180820480 is about 71977.9166133614. The cubic root of 5180820480 is about 1730.3455801107.

The spelling of 5180820480 in words is "five billion, one hundred eighty million, eight hundred twenty thousand, four hundred eighty".