65000000000000 has 364 divisors, whose sum is σ = 174978637666644. Its totient is φ = 24000000000000.

The previous prime is 64999999999999. The next prime is 65000000000021. The reversal of 65000000000000 is 56.

It can be written as a sum of positive squares in 14 ways, for example, as 58085372133376 + 6914627866624 = 7621376^2 + 2629568^2 .

It is a sliding number, since 65000000000000 = 25000000000000 + 40000000000000 and 1/25000000000000 + 1/40000000000000 = 0.000000000000065000000000000.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64999999999891 and 64999999999900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4999999999994 + ... + 5000000000006.

Almost surely, 2^{65000000000000} 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 65000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87489318833322).

65000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (109978637666644).

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

65000000000000 is an frugal number, since it uses more digits than its factorization.

65000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

Adding to 65000000000000 its reverse (56), we get a palindrome (65000000000056).

The spelling of 65000000000000 in words is "sixty-five trillion", and thus it is an aban number and an uban number.