65253461321632 has 192 divisors, whose sum is σ = 135773961523200. Its totient is φ = 30810560901120.

The previous prime is 65253461321627. The next prime is 65253461321647. The reversal of 65253461321632 is 23612316435256.

It is a super-2 number, since 2×65253461321632² (a number of 28 digits) contains 22 as substring.

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, 31538646294 + ... + 31538648362.

It is an arithmetic number, because the mean of its divisors is an integer number (707156049600).

Almost surely, 2^{65253461321632} 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 65253461321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886980761600).

65253461321632 is an abundant number, since it is smaller than the sum of its proper divisors (70520500201568).

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

65253461321632 is a wasteful number, since it uses less digits than its factorization.

65253461321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3871 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

Adding to 65253461321632 its reverse (23612316435256), we get a palindrome (88865777756888).

The spelling of 65253461321632 in words is "sixty-five trillion, two hundred fifty-three billion, four hundred sixty-one million, three hundred twenty-one thousand, six hundred thirty-two".