51774231168 has 288 divisors, whose sum is σ = 166473134100. Its totient is φ = 15429427200.

The previous prime is 51774231163. The next prime is 51774231253. The reversal of 51774231168 is 86113247715.

51774231168 is a `hidden beast` number, since 517 + 7 + 42 + 31 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42077496384 + 9696734784 = 205128^2 + 98472^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (51774231163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8499868 + ... + 8505956.

Almost surely, 2^51774231168 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 51774231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83236567050).

51774231168 is an abundant number, since it is smaller than the sum of its proper divisors (114698902932).

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

51774231168 is a wasteful number, since it uses less digits than its factorization.

51774231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6166 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 51774231168 in words is "fifty-one billion, seven hundred seventy-four million, two hundred thirty-one thousand, one hundred sixty-eight".