51206360304600 has 288 divisors, whose sum is σ = 173652184031040. Its totient is φ = 13521746784000.

The previous prime is 51206360304581. The next prime is 51206360304689. The reversal of 51206360304600 is 640306360215.

51206360304600 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 6 + 3 + 603 + 0 + 46 + 0 + 0 = 666.

51206360304600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109886095 + ... + 110351105.

It is an arithmetic number, because the mean of its divisors is an integer number (602958972330).

Almost surely, 2^{51206360304600} is an apocalyptic number.

51206360304600 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 51206360304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86826092015520).

51206360304600 is an abundant number, since it is smaller than the sum of its proper divisors (122445823726440).

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

51206360304600 is a wasteful number, since it uses less digits than its factorization.

51206360304600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465631 (or 465619 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 51206360304600 its reverse (640306360215), we get a palindrome (51846666664815).

The spelling of 51206360304600 in words is "fifty-one trillion, two hundred six billion, three hundred sixty million, three hundred four thousand, six hundred".