65785218048000 has 2688 divisors, whose sum is σ = 270833065371648. Its totient is φ = 15344271360000.

The previous prime is 65785218047867. The next prime is 65785218048041. The reversal of 65785218048000 is 84081258756.

65785218048000 is a `hidden beast` number, since 6 + 5 + 7 + 85 + 2 + 1 + 80 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380261375914 + ... + 380261376086.

Almost surely, 2^{65785218048000} is an apocalyptic number.

65785218048000 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 65785218048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135416532685824).

65785218048000 is an abundant number, since it is smaller than the sum of its proper divisors (205047847323648).

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

65785218048000 is a wasteful number, since it uses less digits than its factorization.

65785218048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 65785218048000 in words is "sixty-five trillion, seven hundred eighty-five billion, two hundred eighteen million, forty-eight thousand".