395168091552 has 1152 divisors, whose sum is σ = 1420213616640. Its totient is φ = 102837288960.

The previous prime is 395168091551. The next prime is 395168091589. The reversal of 395168091552 is 255190861593.

395168091552 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 6 + 80 + 9 + 1 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (395168091551) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3111559713 + ... + 3111559839.

It is an arithmetic number, because the mean of its divisors is an integer number (1232824320).

Almost surely, 2^395168091552 is an apocalyptic number.

395168091552 is a gapful number since it is divisible by the number (32) 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 395168091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710106808320).

395168091552 is an abundant number, since it is smaller than the sum of its proper divisors (1025045525088).

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

395168091552 is a wasteful number, since it uses less digits than its factorization.

395168091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 395168091552 in words is "three hundred ninety-five billion, one hundred sixty-eight million, ninety-one thousand, five hundred fifty-two".