395847085560 has 256 divisors, whose sum is σ = 1294551642240. Its totient is φ = 96427376640.

The previous prime is 395847085547. The next prime is 395847085567. The reversal of 395847085560 is 65580748593.

395847085560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 395847085494 and 395847085503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395847085567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31770852 + ... + 31783308.

Almost surely, 2^395847085560 is an apocalyptic number.

395847085560 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 395847085560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647275821120).

395847085560 is an abundant number, since it is smaller than the sum of its proper divisors (898704556680).

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

395847085560 is a wasteful number, since it uses less digits than its factorization.

395847085560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12946 (or 12942 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 395847085560 in words is "three hundred ninety-five billion, eight hundred forty-seven million, eighty-five thousand, five hundred sixty".