65651561010000 has 1200 divisors, whose sum is σ = 278163155597184. Its totient is φ = 14106267648000.

The previous prime is 65651561009987. The next prime is 65651561010019. The reversal of 65651561010000 is 1016515656.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10142366764 + ... + 10142373236.

Almost surely, 2^{65651561010000} is an apocalyptic number.

65651561010000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65651561010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139081577798592).

65651561010000 is an abundant number, since it is smaller than the sum of its proper divisors (212511594587184).

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

65651561010000 is a wasteful number, since it uses less digits than its factorization.

65651561010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 65651561010000 its reverse (1016515656), we get a palindrome (65652577525656).

The spelling of 65651561010000 in words is "sixty-five trillion, six hundred fifty-one billion, five hundred sixty-one million, ten thousand".