65055825648 has 160 divisors (see below), whose sum is σ = 203897664000. Its totient is φ = 19695744000.

The previous prime is 65055825629. The next prime is 65055825671. The reversal of 65055825648 is 84652855056.

It is a happy number.

65055825648 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 582 + 56 + 4 + 8 = 666.

65055825648 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 junction number, because it is equal to n+sod(n) for n = 65055825594 and 65055825603.

It is a congruent number.

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, 5701453 + ... + 5712851.

It is an arithmetic number, because the mean of its divisors is an integer number (1274360400).

Almost surely, 2^65055825648 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 65055825648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101948832000).

65055825648 is an abundant number, since it is smaller than the sum of its proper divisors (138841838352).

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

65055825648 is a wasteful number, since it uses less digits than its factorization.

65055825648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12628 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 65055825648 in words is "sixty-five billion, fifty-five million, eight hundred twenty-five thousand, six hundred forty-eight".