65562132013056 has 2016 divisors, whose sum is σ = 244021694510880. Its totient is φ = 16832161382400.

The previous prime is 65562132013051. The next prime is 65562132013069. The reversal of 65562132013056 is 65031023126556.

65562132013056 is a `hidden beast` number, since 6 + 5 + 5 + 621 + 3 + 2 + 0 + 13 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65562132013051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233317195636 + ... + 233317195916.

Almost surely, 2^{65562132013056} 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 65562132013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122010847255440).

65562132013056 is an abundant number, since it is smaller than the sum of its proper divisors (178459562497824).

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

65562132013056 is a wasteful number, since it uses less digits than its factorization.

65562132013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 65562132013056 in words is "sixty-five trillion, five hundred sixty-two billion, one hundred thirty-two million, thirteen thousand, fifty-six".