395871533568 has 240 divisors, whose sum is σ = 1374452713920. Its totient is φ = 107153031168.

The previous prime is 395871533557. The next prime is 395871533581. The reversal of 395871533568 is 865335178593.

It is a happy number.

395871533568 is a `hidden beast` number, since 3 + 9 + 58 + 7 + 15 + 3 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289896 + ... + 935832.

It is an arithmetic number, because the mean of its divisors is an integer number (5726886308).

Almost surely, 2^395871533568 is an apocalyptic number.

395871533568 is a gapful number since it is divisible by the number (38) 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 395871533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687226356960).

395871533568 is an abundant number, since it is smaller than the sum of its proper divisors (978581180352).

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

395871533568 is a wasteful number, since it uses less digits than its factorization.

395871533568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645987 (or 645968 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 395871533568 in words is "three hundred ninety-five billion, eight hundred seventy-one million, five hundred thirty-three thousand, five hundred sixty-eight".