5345280000 has 480 divisors, whose sum is σ = 19961305650. Its totient is φ = 1376256000.

The previous prime is 5345279987. The next prime is 5345280007. The reversal of 5345280000 is 825435.

5345280000 is a `hidden beast` number, since 534 + 52 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 78004224 + 5267275776 = 8832^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (5345280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 184319986 + ... + 184320014.

Almost surely, 2^5345280000 is an apocalyptic number.

5345280000 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 5345280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980652825).

5345280000 is an abundant number, since it is smaller than the sum of its proper divisors (14616025650).

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

5345280000 is an frugal number, since it uses more digits than its factorization.

5345280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5345280000 is about 73111.4218162935. The cubic root of 5345280000 is about 1748.4645034487.

The spelling of 5345280000 in words is "five billion, three hundred forty-five million, two hundred eighty thousand".