65122589952 has 540 divisors, whose sum is σ = 228378981600. Its totient is φ = 18401789952.

The previous prime is 65122589923. The next prime is 65122589953. The reversal of 65122589952 is 25998522156.

65122589952 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 2 + 589 + 9 + 52 = 666.

65122589952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65122589953) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 108718549 + ... + 108719147.

It is an arithmetic number, because the mean of its divisors is an integer number (422924040).

Almost surely, 2^65122589952 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 65122589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114189490800).

65122589952 is an abundant number, since it is smaller than the sum of its proper divisors (163256391648).

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

65122589952 is a wasteful number, since it uses less digits than its factorization.

65122589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 718 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 65122589952 in words is "sixty-five billion, one hundred twenty-two million, five hundred eighty-nine thousand, nine hundred fifty-two".