5271390835200 has 2400 divisors, whose sum is σ = 23220106377600. Its totient is φ = 1185137049600.

The previous prime is 5271390835189. The next prime is 5271390835247. The reversal of 5271390835200 is 25380931725.

5271390835200 is a `hidden beast` number, since 5 + 27 + 1 + 390 + 8 + 35 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×5271390835200² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 86416243170 + ... + 86416243230.

It is an arithmetic number, because the mean of its divisors is an integer number (9675044324).

Almost surely, 2^{5271390835200} is an apocalyptic number.

5271390835200 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 5271390835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610053188800).

5271390835200 is an abundant number, since it is smaller than the sum of its proper divisors (17948715542400).

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

5271390835200 is an frugal number, since it uses more digits than its factorization.

5271390835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5271390835200 in words is "five trillion, two hundred seventy-one billion, three hundred ninety million, eight hundred thirty-five thousand, two hundred".