5280768000 has 448 divisors, whose sum is σ = 19628144640. Its totient is φ = 1400832000.

The previous prime is 5280767981. The next prime is 5280768001. The reversal of 5280768000 is 8670825.

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 (5280768001) 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, 27647905 + ... + 27648095.

Almost surely, 2^5280768000 is an apocalyptic number.

5280768000 is a gapful number since it is divisible by the number (50) 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 5280768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814072320).

5280768000 is an abundant number, since it is smaller than the sum of its proper divisors (14347376640).

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

5280768000 is an equidigital number, since it uses as much as digits as its factorization.

5280768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5280768000 is about 72668.8929322582. The cubic root of 5280768000 is about 1741.4019616586.

The spelling of 5280768000 in words is "five billion, two hundred eighty million, seven hundred sixty-eight thousand".