65101144042480 has 320 divisors, whose sum is σ = 189762894397440. Its totient is φ = 20222818172928.

The previous prime is 65101144042471. The next prime is 65101144042513. The reversal of 65101144042480 is 8424044110156.

65101144042480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 84347761 + ... + 85116079.

It is an arithmetic number, because the mean of its divisors is an integer number (593009044992).

Almost surely, 2^{65101144042480} 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 65101144042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94881447198720).

65101144042480 is an abundant number, since it is smaller than the sum of its proper divisors (124661750354960).

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

65101144042480 is a wasteful number, since it uses less digits than its factorization.

65101144042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768568 (or 768562 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 65101144042480 in words is "sixty-five trillion, one hundred one billion, one hundred forty-four million, forty-two thousand, four hundred eighty".