51685231274064 has 240 divisors, whose sum is σ = 148439424893760. Its totient is φ = 16782644275200.

The previous prime is 51685231274057. The next prime is 51685231274081. The reversal of 51685231274064 is 46047213258615.

51685231274064 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 523 + 12 + 7 + 40 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51685231274064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3883473042 + ... + 3883486350.

It is an arithmetic number, because the mean of its divisors is an integer number (618497603724).

Almost surely, 2^{51685231274064} 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 51685231274064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74219712446880).

51685231274064 is an abundant number, since it is smaller than the sum of its proper divisors (96754193619696).

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

51685231274064 is a wasteful number, since it uses less digits than its factorization.

51685231274064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17930 (or 17921 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 51685231274064 in words is "fifty-one trillion, six hundred eighty-five billion, two hundred thirty-one million, two hundred seventy-four thousand, sixty-four".