51505017200 has 480 divisors, whose sum is σ = 158089881600. Its totient is φ = 16019942400.

The previous prime is 51505017191. The next prime is 51505017203. The reversal of 51505017200 is 271050515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51505017200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51505017203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119500985 + ... + 119501415.

It is an arithmetic number, because the mean of its divisors is an integer number (329353920).

Almost surely, 2^51505017200 is an apocalyptic number.

51505017200 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 51505017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79044940800).

51505017200 is an abundant number, since it is smaller than the sum of its proper divisors (106584864400).

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

51505017200 is a wasteful number, since it uses less digits than its factorization.

51505017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

Adding to 51505017200 its reverse (271050515), we get a palindrome (51776067715).

The spelling of 51505017200 in words is "fifty-one billion, five hundred five million, seventeen thousand, two hundred".