51687941760 has 768 divisors, whose sum is σ = 226831288320. Its totient is φ = 10550476800.

The previous prime is 51687941749. The next prime is 51687941761. The reversal of 51687941760 is 6714978615.

51687941760 is a `hidden beast` number, since 5 + 168 + 7 + 9 + 417 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51687941697 and 51687941706.

It is not an unprimeable number, because it can be changed into a prime (51687941761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16247370 + ... + 16250550.

It is an arithmetic number, because the mean of its divisors is an integer number (295353240).

Almost surely, 2^51687941760 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 51687941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113415644160).

51687941760 is an abundant number, since it is smaller than the sum of its proper divisors (175143346560).

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

51687941760 is a wasteful number, since it uses less digits than its factorization.

51687941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 51687941760 in words is "fifty-one billion, six hundred eighty-seven million, nine hundred forty-one thousand, seven hundred sixty".