395891089920 has 640 divisors, whose sum is σ = 1470165903360. Its totient is φ = 102120652800.

The previous prime is 395891089903. The next prime is 395891089933. The reversal of 395891089920 is 29980198593.

395891089920 is a `hidden beast` number, since 39 + 589 + 10 + 8 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173559180 + ... + 173561460.

It is an arithmetic number, because the mean of its divisors is an integer number (2297134224).

Almost surely, 2^395891089920 is an apocalyptic number.

395891089920 is a gapful number since it is divisible by the number (30) 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 395891089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735082951680).

395891089920 is an abundant number, since it is smaller than the sum of its proper divisors (1074274813440).

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

395891089920 is an frugal number, since it uses more digits than its factorization.

395891089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 395891089920 in words is "three hundred ninety-five billion, eight hundred ninety-one million, eighty-nine thousand, nine hundred twenty".