51374227968 has 630 divisors, whose sum is σ = 182470221549. Its totient is φ = 14401400832.

The previous prime is 51374227937. The next prime is 51374227969. The reversal of 51374227968 is 86972247315.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51374227968 is a `hidden beast` number, since 513 + 7 + 42 + 27 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48731445504 + 2642782464 = 220752^2 + 51408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=160272.

It is a super-2 number, since 2×51374227968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51374227969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 969325030 + ... + 969325082.

Almost surely, 2^51374227968 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 51374227968

51374227968 is an abundant number, since it is smaller than the sum of its proper divisors (131095993581).

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

51374227968 is an frugal number, since it uses more digits than its factorization.

51374227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 51374227968 in words is "fifty-one billion, three hundred seventy-four million, two hundred twenty-seven thousand, nine hundred sixty-eight".