65439966812160 has 1536 divisors, whose sum is σ = 237435623792640. Its totient is φ = 15305225011200.

The previous prime is 65439966812147. The next prime is 65439966812189. The reversal of 65439966812160 is 6121866993456.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 65439966812091 and 65439966812100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64093992450 + ... + 64093993470.

It is an arithmetic number, because the mean of its divisors is an integer number (154580484240).

Almost surely, 2^{65439966812160} is an apocalyptic number.

65439966812160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65439966812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118717811896320).

65439966812160 is an abundant number, since it is smaller than the sum of its proper divisors (171995656980480).

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

65439966812160 is a wasteful number, since it uses less digits than its factorization.

65439966812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 65439966812160 in words is "sixty-five trillion, four hundred thirty-nine billion, nine hundred sixty-six million, eight hundred twelve thousand, one hundred sixty".