65160067104 has 576 divisors, whose sum is σ = 219644006400. Its totient is φ = 18114969600.

The previous prime is 65160067099. The next prime is 65160067109. The reversal of 65160067104 is 40176006156.

It is an interprime number because it is at equal distance from previous prime (65160067099) and next prime (65160067109).

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

It is not an unprimeable number, because it can be changed into a prime (65160067109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337616832 + ... + 337617024.

It is an arithmetic number, because the mean of its divisors is an integer number (381326400).

Almost surely, 2^65160067104 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 65160067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109822003200).

65160067104 is an abundant number, since it is smaller than the sum of its proper divisors (154483939296).

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

65160067104 is a wasteful number, since it uses less digits than its factorization.

65160067104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 65160067104 in words is "sixty-five billion, one hundred sixty million, sixty-seven thousand, one hundred four".