65812221856 has 96 divisors (see below), whose sum is σ = 139533855552. Its totient is φ = 30443212800.

The previous prime is 65812221851. The next prime is 65812221877.

65812221856 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (65812221851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19935406 + ... + 19938706.

It is an arithmetic number, because the mean of its divisors is an integer number (1453477662).

Almost surely, 2^65812221856 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 65812221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69766927776).

65812221856 is an abundant number, since it is smaller than the sum of its proper divisors (73721633696).

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

65812221856 is a wasteful number, since it uses less digits than its factorization.

65812221856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3934 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 65812221856 in words is "sixty-five billion, eight hundred twelve million, two hundred twenty-one thousand, eight hundred fifty-six".