65009967261696 has 1152 divisors, whose sum is σ = 208397393568000. Its totient is φ = 20235368595456.

The previous prime is 65009967261683. The next prime is 65009967261731. The reversal of 65009967261696 is 69616276990056.

65009967261696 is a `hidden beast` number, since 6 + 500 + 9 + 9 + 6 + 7 + 26 + 1 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389281241005 + ... + 389281241171.

It is an arithmetic number, because the mean of its divisors is an integer number (180900515250).

Almost surely, 2^{65009967261696} 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 65009967261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104198696784000).

65009967261696 is an abundant number, since it is smaller than the sum of its proper divisors (143387426306304).

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

65009967261696 is an frugal number, since it uses more digits than its factorization.

65009967261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 65009967261696 in words is "sixty-five trillion, nine billion, nine hundred sixty-seven million, two hundred sixty-one thousand, six hundred ninety-six".