5147258140800 has 720 divisors, whose sum is σ = 20047206559050. Its totient is φ = 1300336312320.

The previous prime is 5147258140757. The next prime is 5147258140891. The reversal of 5147258140800 is 80418527415.

5147258140800 is a `hidden beast` number, since 5 + 147 + 25 + 81 + 408 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4444035015744 + 703223125056 = 2108088^2 + 838584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 93543696 + ... + 93598704.

Almost surely, 2^{5147258140800} is an apocalyptic number.

5147258140800 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 5147258140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10023603279525).

5147258140800 is an abundant number, since it is smaller than the sum of its proper divisors (14899948418250).

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

5147258140800 is a wasteful number, since it uses less digits than its factorization.

5147258140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55083 (or 55038 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 5147258140800 in words is "five trillion, one hundred forty-seven billion, two hundred fifty-eight million, one hundred forty thousand, eight hundred".