5146080000 has 360 divisors, whose sum is σ = 17470607616. Its totient is φ = 1344000000.

The previous prime is 5146079993. The next prime is 5146080019. The reversal of 5146080000 is 806415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34079925 + ... + 34080075.

Almost surely, 2^5146080000 is an apocalyptic number.

5146080000 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 5146080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735303808).

5146080000 is an abundant number, since it is smaller than the sum of its proper divisors (12324527616).

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

5146080000 is an equidigital number, since it uses as much as digits as its factorization.

5146080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5146080000 is about 71736.1833386751. The cubic root of 5146080000 is about 1726.4692376410.

Adding to 5146080000 its reverse (806415), we get a palindrome (5146886415).

The spelling of 5146080000 in words is "five billion, one hundred forty-six million, eighty thousand".