5280144576 has 224 divisors, whose sum is σ = 16342351872. Its totient is φ = 1473500160.

The previous prime is 5280144553. The next prime is 5280144577. The reversal of 5280144576 is 6754410825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5280144577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17199015 + ... + 17199321.

It is an arithmetic number, because the mean of its divisors is an integer number (72956928).

Almost surely, 2^5280144576 is an apocalyptic number.

5280144576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5280144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171175936).

5280144576 is an abundant number, since it is smaller than the sum of its proper divisors (11062207296).

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

5280144576 is a wasteful number, since it uses less digits than its factorization.

5280144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5280144576 is about 72664.6033223880. The cubic root of 5280144576 is about 1741.3334315697. Note that the first 3 decimals are identical.

The spelling of 5280144576 in words is "five billion, two hundred eighty million, one hundred forty-four thousand, five hundred seventy-six".