5005460880 has 640 divisors, whose sum is σ = 20798668800. Its totient is φ = 1082419200.

The previous prime is 5005460819. The next prime is 5005460891. The reversal of 5005460880 is 880645005.

It is a happy number.

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

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 127 ways as a sum of consecutive naturals, for example, 27654390 + ... + 27654570.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^5005460880 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 5005460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399334400).

5005460880 is an abundant number, since it is smaller than the sum of its proper divisors (15793207920).

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

5005460880 is a wasteful number, since it uses less digits than its factorization.

5005460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5005460880 is about 70749.2818338109. The cubic root of 5005460880 is about 1710.5982517393.

The spelling of 5005460880 in words is "five billion, five million, four hundred sixty thousand, eight hundred eighty".