51504640200 has 288 divisors, whose sum is σ = 187068521640. Its totient is φ = 12624076800.

The previous prime is 51504640183. The next prime is 51504640207. The reversal of 51504640200 is 204640515.

51504640200 is a `hidden beast` number, since 5 + 15 + 0 + 4 + 640 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5989831236 + 45514808964 = 77394^2 + 213342^2 .

It is not an unprimeable number, because it can be changed into a prime (51504640207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5634834 + ... + 5643966.

Almost surely, 2^51504640200 is an apocalyptic number.

51504640200 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 51504640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93534260820).

51504640200 is an abundant number, since it is smaller than the sum of its proper divisors (135563881440).

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

51504640200 is a wasteful number, since it uses less digits than its factorization.

51504640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 51504640200 in words is "fifty-one billion, five hundred four million, six hundred forty thousand, two hundred".