51240025200 has 360 divisors, whose sum is σ = 205627599408. Its totient is φ = 10810920960.

The previous prime is 51240025139. The next prime is 51240025201. The reversal of 51240025200 is 252004215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51240025201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 730884 + ... + 797916.

Almost surely, 2^51240025200 is an apocalyptic number.

51240025200 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 51240025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102813799704).

51240025200 is an abundant number, since it is smaller than the sum of its proper divisors (154387574208).

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

51240025200 is a wasteful number, since it uses less digits than its factorization.

51240025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67081 (or 67063 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 51240025200 its reverse (252004215), we get a palindrome (51492029415).

The spelling of 51240025200 in words is "fifty-one billion, two hundred forty million, twenty-five thousand, two hundred".