65625511552656 has 40 divisors (see below), whose sum is σ = 184944623468064. Its totient is φ = 19886518652160.

The previous prime is 65625511552651. The next prime is 65625511552663.

65625511552656 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65625511552656² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65625511552656.

It is not an unprimeable number, because it can be changed into a prime (65625511552651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62145370261 + ... + 62145371316.

Almost surely, 2^{65625511552656} is an apocalyptic number.

65625511552656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65625511552656 is an abundant number, since it is smaller than the sum of its proper divisors (119319111915408).

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

65625511552656 is a wasteful number, since it uses less digits than its factorization.

65625511552656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124290741599 (or 124290741593 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 60.

The spelling of 65625511552656 in words is "sixty-five trillion, six hundred twenty-five billion, five hundred eleven million, five hundred fifty-two thousand, six hundred fifty-six".