65960135923968 has 1512 divisors, whose sum is σ = 240750472322304. Its totient is φ = 17852302540800.

The previous prime is 65960135923909. The next prime is 65960135924021. The reversal of 65960135923968 is 86932953106956.

65960135923968 is a `hidden beast` number, since 6 + 5 + 9 + 601 + 3 + 5 + 9 + 2 + 3 + 9 + 6 + 8 = 666.

65960135923968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65960135923968² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 65960135923896 and 65960135923905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10754951430 + ... + 10754957562.

Almost surely, 2^{65960135923968} 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 65960135923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120375236161152).

65960135923968 is an abundant number, since it is smaller than the sum of its proper divisors (174790336398336).

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

65960135923968 is a wasteful number, since it uses less digits than its factorization.

65960135923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 65960135923968 in words is "sixty-five trillion, nine hundred sixty billion, one hundred thirty-five million, nine hundred twenty-three thousand, nine hundred sixty-eight".