51255560170200 has 192 divisors, whose sum is σ = 162595659283200. Its totient is φ = 13349607667200.

The previous prime is 51255560170163. The next prime is 51255560170201. The reversal of 51255560170200 is 207106555215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51255560170201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692409190 + ... + 692483210.

It is an arithmetic number, because the mean of its divisors is an integer number (846852392100).

Almost surely, 2^{51255560170200} is an apocalyptic number.

51255560170200 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 51255560170200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81297829641600).

51255560170200 is an abundant number, since it is smaller than the sum of its proper divisors (111340099113000).

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

51255560170200 is a wasteful number, since it uses less digits than its factorization.

51255560170200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100922 (or 100913 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 39.

The spelling of 51255560170200 in words is "fifty-one trillion, two hundred fifty-five billion, five hundred sixty million, one hundred seventy thousand, two hundred".