5096268800 has 132 divisors (see below), whose sum is σ = 14437736640. Its totient is φ = 1747230720.

The previous prime is 5096268791. The next prime is 5096268847. The reversal of 5096268800 is 88626905.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164981 + ... + 193419.

Almost surely, 2^5096268800 is an apocalyptic number.

5096268800 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 5096268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218868320).

5096268800 is an abundant number, since it is smaller than the sum of its proper divisors (9341467840).

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

5096268800 is a wasteful number, since it uses less digits than its factorization.

5096268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28476 (or 28453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 5096268800 is about 71388.1558803700. The cubic root of 5096268800 is about 1720.8807459703.

The spelling of 5096268800 in words is "five billion, ninety-six million, two hundred sixty-eight thousand, eight hundred".