65225276970624 has 512 divisors, whose sum is σ = 209005113888000. Its totient is φ = 19949133496320.

The previous prime is 65225276970577. The next prime is 65225276970653. The reversal of 65225276970624 is 42607967252256.

65225276970624 is a `hidden beast` number, since 6 + 5 + 22 + 527 + 69 + 7 + 0 + 6 + 24 = 666.

65225276970624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65225276970624² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404897007 + ... + 405058065.

Almost surely, 2^{65225276970624} is an apocalyptic number.

65225276970624 is a gapful number since it is divisible by the number (64) 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 65225276970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104502556944000).

65225276970624 is an abundant number, since it is smaller than the sum of its proper divisors (143779836917376).

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

65225276970624 is a wasteful number, since it uses less digits than its factorization.

65225276970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161273 (or 161255 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 65225276970624 in words is "sixty-five trillion, two hundred twenty-five billion, two hundred seventy-six million, nine hundred seventy thousand, six hundred twenty-four".