51937954200 has 576 divisors, whose sum is σ = 198553006080. Its totient is φ = 12055680000.

The previous prime is 51937954181. The next prime is 51937954207. The reversal of 51937954200 is 245973915.

It is a happy number.

51937954200 is a `hidden beast` number, since 51 + 93 + 7 + 95 + 420 + 0 = 666.

51937954200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 227899²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51937954207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45123625 + ... + 45124775.

It is an arithmetic number, because the mean of its divisors is an integer number (344710080).

Almost surely, 2^51937954200 is an apocalyptic number.

51937954200 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 51937954200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99276503040).

51937954200 is an abundant number, since it is smaller than the sum of its proper divisors (146615051880).

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

51937954200 is a wasteful number, since it uses less digits than its factorization.

51937954200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 51937954200 in words is "fifty-one billion, nine hundred thirty-seven million, nine hundred fifty-four thousand, two hundred".