51368067072 has 384 divisors, whose sum is σ = 171754128000. Its totient is φ = 14490796032.

The previous prime is 51368067071. The next prime is 51368067131. The reversal of 51368067072 is 27076086315.

51368067072 is a `hidden beast` number, since 513 + 6 + 8 + 0 + 67 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (51368067071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307593133 + ... + 307593299.

It is an arithmetic number, because the mean of its divisors is an integer number (447276375).

Almost surely, 2^51368067072 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 51368067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85877064000).

51368067072 is an abundant number, since it is smaller than the sum of its proper divisors (120386060928).

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

51368067072 is a wasteful number, since it uses less digits than its factorization.

51368067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 51368067072 in words is "fifty-one billion, three hundred sixty-eight million, sixty-seven thousand, seventy-two".