51608427766200 has 768 divisors, whose sum is σ = 192809702246400. Its totient is φ = 12638464819200.

The previous prime is 51608427766171. The next prime is 51608427766241. The reversal of 51608427766200 is 266772480615.

It is a happy number.

51608427766200 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 8 + 4 + 2 + 7 + 7 + 6 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1428114532 + ... + 1428150668.

It is an arithmetic number, because the mean of its divisors is an integer number (251054299800).

Almost surely, 2^{51608427766200} is an apocalyptic number.

51608427766200 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 51608427766200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96404851123200).

51608427766200 is an abundant number, since it is smaller than the sum of its proper divisors (141201274480200).

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

51608427766200 is a wasteful number, since it uses less digits than its factorization.

51608427766200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36557 (or 36542 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 51608427766200 in words is "fifty-one trillion, six hundred eight billion, four hundred twenty-seven million, seven hundred sixty-six thousand, two hundred".