65705241400 has 192 divisors, whose sum is σ = 172608818400. Its totient is φ = 23111516160.

The previous prime is 65705241389. The next prime is 65705241403. The reversal of 65705241400 is 414250756.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65705241403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4708834 + ... + 4722766.

Almost surely, 2^65705241400 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 65705241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86304409200).

65705241400 is an abundant number, since it is smaller than the sum of its proper divisors (106903577000).

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

65705241400 is a wasteful number, since it uses less digits than its factorization.

65705241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 65705241400 in words is "sixty-five billion, seven hundred five million, two hundred forty-one thousand, four hundred".