395990165738160 has 960 divisors, whose sum is σ = 1584619006464000. Its totient is φ = 88543938115584.

The previous prime is 395990165738119. The next prime is 395990165738177. The reversal of 395990165738160 is 61837561099593.

395990165738160 is a `hidden beast` number, since 3 + 9 + 59 + 90 + 1 + 6 + 57 + 381 + 60 = 666.

It is a super-2 number, since 2×395990165738160² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28634758126 + ... + 28634771954.

It is an arithmetic number, because the mean of its divisors is an integer number (1650644798400).

Almost surely, 2^{395990165738160} is an apocalyptic number.

395990165738160 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 395990165738160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792309503232000).

395990165738160 is an abundant number, since it is smaller than the sum of its proper divisors (1188628840725840).

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

395990165738160 is a wasteful number, since it uses less digits than its factorization.

395990165738160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16360 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 395990165738160 in words is "three hundred ninety-five trillion, nine hundred ninety billion, one hundred sixty-five million, seven hundred thirty-eight thousand, one hundred sixty".