65261878528 has 648 divisors, whose sum is σ = 183467477760. Its totient is φ = 22992076800.

The previous prime is 65261878511. The next prime is 65261878531. The reversal of 65261878528 is 82587816256.

It is a super-2 number, since 2×65261878528² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

Its product of digits (12902400) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893998300 + ... + 893998372.

Almost surely, 2^65261878528 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 65261878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91733738880).

65261878528 is an abundant number, since it is smaller than the sum of its proper divisors (118205599232).

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

65261878528 is a wasteful number, since it uses less digits than its factorization.

65261878528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 58.

The spelling of 65261878528 in words is "sixty-five billion, two hundred sixty-one million, eight hundred seventy-eight thousand, five hundred twenty-eight".