5314560480 has 144 divisors (see below), whose sum is σ = 18155146464. Its totient is φ = 1415715840.

The previous prime is 5314560479. The next prime is 5314560487. The reversal of 5314560480 is 840654135.

It is a happy number.

5314560480 is a `hidden beast` number, since 5 + 3 + 1 + 45 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314560487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298525 + ... + 2300835.

It is an arithmetic number, because the mean of its divisors is an integer number (126077406).

Almost surely, 2^5314560480 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 5314560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9077573232).

5314560480 is an abundant number, since it is smaller than the sum of its proper divisors (12840585984).

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

5314560480 is a wasteful number, since it uses less digits than its factorization.

5314560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5314560480 is about 72901.0320914594. The cubic root of 5314560480 is about 1745.1085698028.

The spelling of 5314560480 in words is "five billion, three hundred fourteen million, five hundred sixty thousand, four hundred eighty".