65721201765000 has 640 divisors, whose sum is σ = 227072049684480. Its totient is φ = 15761574400000.

The previous prime is 65721201764957. The next prime is 65721201765007. The reversal of 65721201765000 is 56710212756.

It is a happy number.

65721201765000 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 2×65721201765000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65721201765007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 6398709865 + ... + 6398720135.

It is an arithmetic number, because the mean of its divisors is an integer number (354800077632).

Almost surely, 2^{65721201765000} is an apocalyptic number.

65721201765000 is a gapful number since it is divisible by the number (60) 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 65721201765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113536024842240).

65721201765000 is an abundant number, since it is smaller than the sum of its proper divisors (161350847919480).

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

65721201765000 is a wasteful number, since it uses less digits than its factorization.

65721201765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

Adding to 65721201765000 its reverse (56710212756), we get a palindrome (65777911977756).

The spelling of 65721201765000 in words is "sixty-five trillion, seven hundred twenty-one billion, two hundred one million, seven hundred sixty-five thousand".