51870520867200 has 768 divisors, whose sum is σ = 196653431232000. Its totient is φ = 11771385937920.

The previous prime is 51870520867183. The next prime is 51870520867247. The reversal of 51870520867200 is 276802507815.

51870520867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15039291076 + ... + 15039294524.

It is an arithmetic number, because the mean of its divisors is an integer number (256059155250).

Almost surely, 2^{51870520867200} is an apocalyptic number.

51870520867200 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 51870520867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98326715616000).

51870520867200 is an abundant number, since it is smaller than the sum of its proper divisors (144782910364800).

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

51870520867200 is a wasteful number, since it uses less digits than its factorization.

51870520867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 51870520867200 in words is "fifty-one trillion, eight hundred seventy billion, five hundred twenty million, eight hundred sixty-seven thousand, two hundred".