65503832070400 has 108 divisors (see below), whose sum is σ = 162208407255300. Its totient is φ = 26189220413440.

The previous prime is 65503832070337. The next prime is 65503832070499. The reversal of 65503832070400 is 407023830556.

It can be written as a sum of positive squares in 6 ways, for example, as 21766031806464 + 43737800263936 = 4665408^2 + 6613456^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11221896 + ... + 16029304.

Almost surely, 2^{65503832070400} 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 65503832070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81104203627650).

65503832070400 is an abundant number, since it is smaller than the sum of its proper divisors (96704575184900).

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

65503832070400 is a wasteful number, since it uses less digits than its factorization.

65503832070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809564 (or 4809545 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 65503832070400 in words is "sixty-five trillion, five hundred three billion, eight hundred thirty-two million, seventy thousand, four hundred".