65505372388384 has 96 divisors (see below), whose sum is σ = 138030150504960. Its totient is φ = 30508366694400.

The previous prime is 65505372388319. The next prime is 65505372388439. The reversal of 65505372388384 is 48388327350556.

65505372388384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 95754172 + ... + 96435844.

It is an arithmetic number, because the mean of its divisors is an integer number (1437814067760).

Almost surely, 2^{65505372388384} 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 65505372388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69015075252480).

65505372388384 is an abundant number, since it is smaller than the sum of its proper divisors (72524778116576).

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

65505372388384 is a wasteful number, since it uses less digits than its factorization.

65505372388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684354 (or 684346 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 67.

The spelling of 65505372388384 in words is "sixty-five trillion, five hundred five billion, three hundred seventy-two million, three hundred eighty-eight thousand, three hundred eighty-four".