5990280480 has 768 divisors, whose sum is σ = 24102489600. Its totient is φ = 1397440512.

The previous prime is 5990280479. The next prime is 5990280487. The reversal of 5990280480 is 840820995.

5990280480 is a `hidden beast` number, since 5 + 9 + 90 + 2 + 80 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5990280487) 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 127 ways as a sum of consecutive naturals, for example, 113024134 + ... + 113024186.

It is an arithmetic number, because the mean of its divisors is an integer number (31383450).

Almost surely, 2^5990280480 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 5990280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051244800).

5990280480 is an abundant number, since it is smaller than the sum of its proper divisors (18112209120).

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

5990280480 is a wasteful number, since it uses less digits than its factorization.

5990280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5990280480 is about 77396.9022635919. The cubic root of 5990280480 is about 1816.1388658712.

The spelling of 5990280480 in words is "five billion, nine hundred ninety million, two hundred eighty thousand, four hundred eighty".