51282639832680 has 640 divisors, whose sum is σ = 186145258844160. Its totient is φ = 12636684288000.

The previous prime is 51282639832679. The next prime is 51282639832703. The reversal of 51282639832680 is 8623893628215.

51282639832680 is a `hidden beast` number, since 5 + 1 + 28 + 263 + 98 + 3 + 268 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193415400 + ... + 193680360.

It is an arithmetic number, because the mean of its divisors is an integer number (290851966944).

Almost surely, 2^{51282639832680} 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 51282639832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93072629422080).

51282639832680 is an abundant number, since it is smaller than the sum of its proper divisors (134862619011480).

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

51282639832680 is a wasteful number, since it uses less digits than its factorization.

51282639832680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265103 (or 265090 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 51282639832680 in words is "fifty-one trillion, two hundred eighty-two billion, six hundred thirty-nine million, eight hundred thirty-two thousand, six hundred eighty".