65625363968000 has 416 divisors, whose sum is σ = 167088898354560. Its totient is φ = 25725291724800.

The previous prime is 65625363967981. The next prime is 65625363968071. The reversal of 65625363968000 is 86936352656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5115385586 + ... + 5115398414.

It is an arithmetic number, because the mean of its divisors is an integer number (401656005660).

Almost surely, 2^{65625363968000} 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 65625363968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83544449177280).

65625363968000 is an abundant number, since it is smaller than the sum of its proper divisors (101463534386560).

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

65625363968000 is a wasteful number, since it uses less digits than its factorization.

65625363968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 59.

The spelling of 65625363968000 in words is "sixty-five trillion, six hundred twenty-five billion, three hundred sixty-three million, nine hundred sixty-eight thousand".