51306346150160 has 80 divisors (see below), whose sum is σ = 120656648574000. Its totient is φ = 20287055044608.

The previous prime is 51306346150159. The next prime is 51306346150193. The reversal of 51306346150160 is 6105164360315.

It can be written as a sum of positive squares in 8 ways, for example, as 6612735682576 + 44693610467584 = 2571524^2 + 6685328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28731116 + ... + 30464564.

It is an arithmetic number, because the mean of its divisors is an integer number (1508208107175).

Almost surely, 2^{51306346150160} 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 51306346150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328324287000).

51306346150160 is an abundant number, since it is smaller than the sum of its proper divisors (69350302423840).

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

51306346150160 is a wasteful number, since it uses less digits than its factorization.

51306346150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737708 (or 1737702 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 51306346150160 in words is "fifty-one trillion, three hundred six billion, three hundred forty-six million, one hundred fifty thousand, one hundred sixty".