51678171692160 has 512 divisors, whose sum is σ = 187866744145920. Its totient is φ = 11970175303680.

The previous prime is 51678171692141. The next prime is 51678171692171. The reversal of 51678171692160 is 6129617187615.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 51678171692094 and 51678171692103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3217610530 + ... + 3217626590.

It is an arithmetic number, because the mean of its divisors is an integer number (366927234660).

Almost surely, 2^{51678171692160} 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 51678171692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93933372072960).

51678171692160 is an abundant number, since it is smaller than the sum of its proper divisors (136188572453760).

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

51678171692160 is a wasteful number, since it uses less digits than its factorization.

51678171692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23684 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 51678171692160 in words is "fifty-one trillion, six hundred seventy-eight billion, one hundred seventy-one million, six hundred ninety-two thousand, one hundred sixty".