51005666010144 has 288 divisors, whose sum is σ = 142595873280000. Its totient is φ = 15919604490240.

The previous prime is 51005666010139. The next prime is 51005666010199. The reversal of 51005666010144 is 44101066650015.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17007556357 + ... + 17007559355.

It is an arithmetic number, because the mean of its divisors is an integer number (495124560000).

Almost surely, 2^{51005666010144} 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 51005666010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71297936640000).

51005666010144 is an abundant number, since it is smaller than the sum of its proper divisors (91590207269856).

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

51005666010144 is a wasteful number, since it uses less digits than its factorization.

51005666010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 51005666010144 in words is "fifty-one trillion, five billion, six hundred sixty-six million, ten thousand, one hundred forty-four".