65788217341920 has 576 divisors, whose sum is σ = 246876226047360. Its totient is φ = 15884766019584.

The previous prime is 65788217341897. The next prime is 65788217341939. The reversal of 65788217341920 is 2914371288756.

65788217341920 is a `hidden beast` number, since 6 + 5 + 78 + 8 + 217 + 341 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80204589 + ... + 81020691.

It is an arithmetic number, because the mean of its divisors is an integer number (428604559110).

It is a 1-persistent number, because it is pandigital, but 2⋅65788217341920 = 131576434683840 is not.

Almost surely, 2^{65788217341920} is an apocalyptic number.

65788217341920 is a gapful number since it is divisible by the number (60) 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 65788217341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123438113023680).

65788217341920 is an abundant number, since it is smaller than the sum of its proper divisors (181088008705440).

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

65788217341920 is a wasteful number, since it uses less digits than its factorization.

65788217341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816267 (or 816256 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 65788217341920 in words is "sixty-five trillion, seven hundred eighty-eight billion, two hundred seventeen million, three hundred forty-one thousand, nine hundred twenty".