65879411497856 has 256 divisors, whose sum is σ = 145487621664000. Its totient is φ = 29466010828800.

The previous prime is 65879411497799. The next prime is 65879411497859.

65879411497856 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65879411497859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40944319580 + ... + 40944321188.

It is an arithmetic number, because the mean of its divisors is an integer number (568311022125).

Almost surely, 2^{65879411497856} 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 65879411497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72743810832000).

65879411497856 is an abundant number, since it is smaller than the sum of its proper divisors (79608210166144).

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

65879411497856 is a wasteful number, since it uses less digits than its factorization.

65879411497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3489 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 80.

The spelling of 65879411497856 in words is "sixty-five trillion, eight hundred seventy-nine billion, four hundred eleven million, four hundred ninety-seven thousand, eight hundred fifty-six".