395865864576000 has 8448 divisors, whose sum is σ = 2034014654730240. Its totient is φ = 74300837068800.

The previous prime is 395865864575921. The next prime is 395865864576059. The reversal of 395865864576000 is 675468568593.

395865864576000 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 6 + 5 + 8 + 6 + 4 + 5 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 395865864576000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 914239871784 + ... + 914239872216.

Almost surely, 2^{395865864576000} is an apocalyptic number.

395865864576000 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 395865864576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017007327365120).

395865864576000 is an abundant number, since it is smaller than the sum of its proper divisors (1638148790154240).

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

395865864576000 is a wasteful number, since it uses less digits than its factorization.

395865864576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 395865864576000 in words is "three hundred ninety-five trillion, eight hundred sixty-five billion, eight hundred sixty-four million, five hundred seventy-six thousand".