65050055005056 has 64 divisors (see below), whose sum is σ = 188497318492800. Its totient is φ = 19712137879040.

The previous prime is 65050055005049. The next prime is 65050055005063.

65050055005056 is nontrivially palindromic in base 10.

65050055005056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65050055005049) and next prime (65050055005063).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×65050055005056² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 65050055004999 and 65050055005017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700049636 + ... + 7700058083.

It is an arithmetic number, because the mean of its divisors is an integer number (2945270601450).

Almost surely, 2^{65050055005056} is an apocalyptic number.

65050055005056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65050055005056 is an abundant number, since it is smaller than the sum of its proper divisors (123447263487744).

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

65050055005056 is a wasteful number, since it uses less digits than its factorization.

65050055005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400107747 (or 15400107735 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The spelling of 65050055005056 in words is "sixty-five trillion, fifty billion, fifty-five million, five thousand, fifty-six".