51214530200 has 96 divisors (see below), whose sum is σ = 119735193600. Its totient is φ = 20372396160.

The previous prime is 51214530187. The next prime is 51214530209. The reversal of 51214530200 is 203541215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51214530209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33626639 + ... + 33628161.

It is an arithmetic number, because the mean of its divisors is an integer number (1247241600).

Almost surely, 2^51214530200 is an apocalyptic number.

51214530200 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 51214530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59867596800).

51214530200 is an abundant number, since it is smaller than the sum of its proper divisors (68520663400).

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

51214530200 is a wasteful number, since it uses less digits than its factorization.

51214530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 51214530200 in words is "fifty-one billion, two hundred fourteen million, five hundred thirty thousand, two hundred".