65350477405356 has 384 divisors, whose sum is σ = 181686008835072. Its totient is φ = 18022072320000.

The previous prime is 65350477405349. The next prime is 65350477405439.

It is a happy number.

65350477405356 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65350477405356.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67302241951 + ... + 67302242921.

It is an arithmetic number, because the mean of its divisors is an integer number (473140648008).

Almost surely, 2^{65350477405356} is an apocalyptic number.

65350477405356 is a gapful number since it is divisible by the number (66) 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 65350477405356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90843004417536).

65350477405356 is an abundant number, since it is smaller than the sum of its proper divisors (116335531429716).

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

65350477405356 is a wasteful number, since it uses less digits than its factorization.

65350477405356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 60.

The spelling of 65350477405356 in words is "sixty-five trillion, three hundred fifty billion, four hundred seventy-seven million, four hundred five thousand, three hundred fifty-six".