65054375424 has 320 divisors, whose sum is σ = 203761958400. Its totient is φ = 20436074496.

The previous prime is 65054375423. The next prime is 65054375501. The reversal of 65054375424 is 42457345056.

65054375424 is a `hidden beast` number, since 6 + 50 + 54 + 3 + 7 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65054375424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65054375423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61198317 + ... + 61199379.

It is an arithmetic number, because the mean of its divisors is an integer number (636756120).

Almost surely, 2^65054375424 is an apocalyptic number.

65054375424 is a gapful number since it is divisible by the number (64) 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 65054375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101880979200).

65054375424 is an abundant number, since it is smaller than the sum of its proper divisors (138707582976).

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

65054375424 is a wasteful number, since it uses less digits than its factorization.

65054375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 65054375424 in words is "sixty-five billion, fifty-four million, three hundred seventy-five thousand, four hundred twenty-four".