51008674200 has 384 divisors, whose sum is σ = 181515168000. Its totient is φ = 11734374400.

The previous prime is 51008674183. The next prime is 51008674271. The reversal of 51008674200 is 247680015.

It is a Cunningham number, because it is equal to 225851²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11290342 + ... + 11294858.

It is an arithmetic number, because the mean of its divisors is an integer number (472695750).

Almost surely, 2^51008674200 is an apocalyptic number.

51008674200 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 51008674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90757584000).

51008674200 is an abundant number, since it is smaller than the sum of its proper divisors (130506493800).

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

51008674200 is a wasteful number, since it uses less digits than its factorization.

51008674200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 51008674200 in words is "fifty-one billion, eight million, six hundred seventy-four thousand, two hundred".