51055555600 has 240 divisors, whose sum is σ = 147489667200. Its totient is φ = 16613130240.

The previous prime is 51055555591. The next prime is 51055555601. The reversal of 51055555600 is 655555015.

It is a self number, because there is not a number n which added to its sum of digits gives 51055555600.

It is not an unprimeable number, because it can be changed into a prime (51055555601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4785472 + ... + 4796128.

It is an arithmetic number, because the mean of its divisors is an integer number (614540280).

Almost surely, 2^51055555600 is an apocalyptic number.

51055555600 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 51055555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73744833600).

51055555600 is an abundant number, since it is smaller than the sum of its proper divisors (96434111600).

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

51055555600 is a wasteful number, since it uses less digits than its factorization.

51055555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 51055555600 in words is "fifty-one billion, fifty-five million, five hundred fifty-five thousand, six hundred".