51687916560 has 960 divisors, whose sum is σ = 229003200000. Its totient is φ = 10627448832.

The previous prime is 51687916549. The next prime is 51687916561. The reversal of 51687916560 is 6561978615.

51687916560 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 79 + 1 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51687916497 and 51687916506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51687916561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41382816 + ... + 41384064.

It is an arithmetic number, because the mean of its divisors is an integer number (238545000).

Almost surely, 2^51687916560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51687916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600000).

51687916560 is an abundant number, since it is smaller than the sum of its proper divisors (177315283440).

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

51687916560 is a wasteful number, since it uses less digits than its factorization.

51687916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 51687916560 in words is "fifty-one billion, six hundred eighty-seven million, nine hundred sixteen thousand, five hundred sixty".