51988750200 has 144 divisors (see below), whose sum is σ = 174835037520. Its totient is φ = 13844651520.

The previous prime is 51988750183. The next prime is 51988750237. The reversal of 51988750200 is 205788915.

It is a happy number.

51988750200 is a `hidden beast` number, since 51 + 98 + 8 + 7 + 502 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1317964 + ... + 1356836.

It is an arithmetic number, because the mean of its divisors is an integer number (1214132205).

Almost surely, 2^51988750200 is an apocalyptic number.

51988750200 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 51988750200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87417518760).

51988750200 is an abundant number, since it is smaller than the sum of its proper divisors (122846287320).

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

51988750200 is a wasteful number, since it uses less digits than its factorization.

51988750200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39638 (or 39626 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 51988750200 in words is "fifty-one billion, nine hundred eighty-eight million, seven hundred fifty thousand, two hundred".