65516105000 has 80 divisors (see below), whose sum is σ = 154165791780. Its totient is φ = 26093504000.

The previous prime is 65516104991. The next prime is 65516105003. The reversal of 65516105000 is 50161556.

It can be written as a sum of positive squares in 10 ways, for example, as 10949948164 + 54566156836 = 104642^2 + 233594^2 .

It is not an unprimeable number, because it can be changed into a prime (65516105003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1136882 + ... + 1193118.

Almost surely, 2^65516105000 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 65516105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77082895890).

65516105000 is an abundant number, since it is smaller than the sum of its proper divisors (88649686780).

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

65516105000 is a wasteful number, since it uses less digits than its factorization.

65516105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56496 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 65516105000 its reverse (50161556), we get a palindrome (65566266556).

The spelling of 65516105000 in words is "sixty-five billion, five hundred sixteen million, one hundred five thousand".