65059467795168 has 384 divisors, whose sum is σ = 218704931020800. Its totient is φ = 16439710648320.

The previous prime is 65059467795143. The next prime is 65059467795181. The reversal of 65059467795168 is 86159776495056.

It is a junction number, because it is equal to n+sod(n) for n = 65059467795093 and 65059467795102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4020227205 + ... + 4020243387.

It is an arithmetic number, because the mean of its divisors is an integer number (569544091200).

Almost surely, 2^{65059467795168} 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 65059467795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109352465510400).

65059467795168 is an abundant number, since it is smaller than the sum of its proper divisors (153645463225632).

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

65059467795168 is a wasteful number, since it uses less digits than its factorization.

65059467795168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30950 (or 30942 counting only the distinct ones).

The product of its (nonzero) digits is 3429216000, while the sum is 78.

The spelling of 65059467795168 in words is "sixty-five trillion, fifty-nine billion, four hundred sixty-seven million, seven hundred ninety-five thousand, one hundred sixty-eight".