51432540200 has 384 divisors, whose sum is σ = 139191091200. Its totient is φ = 17563392000.

The previous prime is 51432540139. The next prime is 51432540239. The reversal of 51432540200 is 204523415.

It is a happy number.

51432540200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51432540200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111085169 + ... + 111085631.

It is an arithmetic number, because the mean of its divisors is an integer number (362476800).

Almost surely, 2^51432540200 is an apocalyptic number.

51432540200 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 51432540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69595545600).

51432540200 is an abundant number, since it is smaller than the sum of its proper divisors (87758551000).

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

51432540200 is a wasteful number, since it uses less digits than its factorization.

51432540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 51432540200 in words is "fifty-one billion, four hundred thirty-two million, five hundred forty thousand, two hundred".