65444052100 has 216 divisors, whose sum is σ = 169827755328. Its totient is φ = 21814329600.

The previous prime is 65444052073. The next prime is 65444052109. The reversal of 65444052100 is 125044456.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65444052109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55413510 + ... + 55414690.

It is an arithmetic number, because the mean of its divisors is an integer number (786239608).

Almost surely, 2^65444052100 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 65444052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913877664).

65444052100 is an abundant number, since it is smaller than the sum of its proper divisors (104383703228).

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

65444052100 is a wasteful number, since it uses less digits than its factorization.

65444052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 65444052100 its reverse (125044456), we get a palindrome (65569096556).

The spelling of 65444052100 in words is "sixty-five billion, four hundred forty-four million, fifty-two thousand, one hundred".