51444171042768 has 960 divisors, whose sum is σ = 177550510325760. Its totient is φ = 13589138534400.

The previous prime is 51444171042757. The next prime is 51444171042779. The reversal of 51444171042768 is 86724017144415.

51444171042768 is a `hidden beast` number, since 5 + 1 + 4 + 44 + 171 + 0 + 427 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (51444171042757) and next prime (51444171042779).

It is a super-2 number, since 2×51444171042768² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25581386883 + ... + 25581388893.

It is an arithmetic number, because the mean of its divisors is an integer number (184948448256).

Almost surely, 2^{51444171042768} 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 51444171042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88775255162880).

51444171042768 is an abundant number, since it is smaller than the sum of its proper divisors (126106339282992).

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

51444171042768 is a wasteful number, since it uses less digits than its factorization.

51444171042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 51444171042768 in words is "fifty-one trillion, four hundred forty-four billion, one hundred seventy-one million, forty-two thousand, seven hundred sixty-eight".