65556165672 has 64 divisors (see below), whose sum is σ = 182134953600. Its totient is φ = 21847916160.

The previous prime is 65556165617. The next prime is 65556165677. The reversal of 65556165672 is 27656165556.

65556165672 is a `hidden beast` number, since 6 + 5 + 5 + 561 + 6 + 5 + 6 + 72 = 666.

65556165672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×65556165672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65556165677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244493 + ... + 1296099.

It is an arithmetic number, because the mean of its divisors is an integer number (2845858650).

Almost surely, 2^65556165672 is an apocalyptic number.

It is an amenable number.

65556165672 is an abundant number, since it is smaller than the sum of its proper divisors (116578787928).

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

65556165672 is a wasteful number, since it uses less digits than its factorization.

65556165672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57503 (or 57493 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 65556165672 in words is "sixty-five billion, five hundred fifty-six million, one hundred sixty-five thousand, six hundred seventy-two".