51127694314872 has 256 divisors, whose sum is σ = 149945267404800. Its totient is φ = 14226634920960.

The previous prime is 51127694314871. The next prime is 51127694314933. The reversal of 51127694314872 is 27841349672115.

It is a happy number.

It is a super-2 number, since 2×51127694314872² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51127694314871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1128449643 + ... + 1128494949.

It is an arithmetic number, because the mean of its divisors is an integer number (585723700800).

Almost surely, 2^{51127694314872} 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 51127694314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74972633702400).

51127694314872 is an abundant number, since it is smaller than the sum of its proper divisors (98817573089928).

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

51127694314872 is a wasteful number, since it uses less digits than its factorization.

51127694314872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46546 (or 46542 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The spelling of 51127694314872 in words is "fifty-one trillion, one hundred twenty-seven billion, six hundred ninety-four million, three hundred fourteen thousand, eight hundred seventy-two".