65221500512256 has 384 divisors, whose sum is σ = 195145396992000. Its totient is φ = 19197382164480.

The previous prime is 65221500512249. The next prime is 65221500512261.

It is a happy number.

65221500512256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497842421 + ... + 1497885963.

It is an arithmetic number, because the mean of its divisors is an integer number (508191138000).

Almost surely, 2^{65221500512256} is an apocalyptic number.

65221500512256 is a gapful number since it is divisible by the number (66) 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 65221500512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97572698496000).

65221500512256 is an abundant number, since it is smaller than the sum of its proper divisors (129923896479744).

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

65221500512256 is a wasteful number, since it uses less digits than its factorization.

65221500512256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44215 (or 44195 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

It can be divided in two parts, 65221500 and 512256, that added together give a palindrome (65733756).

The spelling of 65221500512256 in words is "sixty-five trillion, two hundred twenty-one billion, five hundred million, five hundred twelve thousand, two hundred fifty-six".