395848555898880 has 576 divisors, whose sum is σ = 1479657302061120. Its totient is φ = 90081003307008.

The previous prime is 395848555898839. The next prime is 395848555898921. The reversal of 395848555898880 is 88898555848593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395848555898839) and next prime (395848555898921).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 341119324 + ... + 342277796.

It is an arithmetic number, because the mean of its divisors is an integer number (2568849482745).

Almost surely, 2^{395848555898880} is an apocalyptic number.

395848555898880 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 395848555898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739828651030560).

395848555898880 is an abundant number, since it is smaller than the sum of its proper divisors (1083808746162240).

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

395848555898880 is a wasteful number, since it uses less digits than its factorization.

395848555898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158744 (or 1158717 counting only the distinct ones).

The product of its (nonzero) digits is 159252480000, while the sum is 93.

The spelling of 395848555898880 in words is "three hundred ninety-five trillion, eight hundred forty-eight billion, five hundred fifty-five million, eight hundred ninety-eight thousand, eight hundred eighty".