5157216800 has 54 divisors (see below), whose sum is σ = 12595016133. Its totient is φ = 2062074240.

The previous prime is 5157216767. The next prime is 5157216811. The reversal of 5157216800 is 86127515.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5054072464 + 103144336 = 71092^2 + 10156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=50780.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2029931 + ... + 2032469.

Almost surely, 2^5157216800 is an apocalyptic number.

5157216800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5157216800 is an abundant number, since it is smaller than the sum of its proper divisors (7437799333).

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

5157216800 is an frugal number, since it uses more digits than its factorization.

5157216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 5157216800 is about 71813.7646973058. The cubic root of 5157216800 is about 1727.7137764670.

The spelling of 5157216800 in words is "five billion, one hundred fifty-seven million, two hundred sixteen thousand, eight hundred".