51340435200 has 432 divisors, whose sum is σ = 199345678560. Its totient is φ = 12884705280.

The previous prime is 51340435199. The next prime is 51340435243. The reversal of 51340435200 is 253404315.

51340435200 is a `hidden beast` number, since 5 + 134 + 0 + 4 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2928862 + ... + 2946338.

It is an arithmetic number, because the mean of its divisors is an integer number (461448330).

Almost surely, 2^51340435200 is an apocalyptic number.

51340435200 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 51340435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99672839280).

51340435200 is an abundant number, since it is smaller than the sum of its proper divisors (148005243360).

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

51340435200 is a wasteful number, since it uses less digits than its factorization.

51340435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17529 (or 17504 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 51340435200 its reverse (253404315), we get a palindrome (51593839515).

The spelling of 51340435200 in words is "fifty-one billion, three hundred forty million, four hundred thirty-five thousand, two hundred".