395534587916160 has 4096 divisors, whose sum is σ = 1843990836019200. Its totient is φ = 77743411200000.

The previous prime is 395534587916159. The next prime is 395534587916173. The reversal of 395534587916160 is 61619785435593.

395534587916160 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 3 + 458 + 7 + 9 + 1 + 6 + 160 = 666.

It is a super-2 number, since 2×395534587916160² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 383641694845 + ... + 383641695875.

It is an arithmetic number, because the mean of its divisors is an integer number (450193075200).

Almost surely, 2^{395534587916160} is an apocalyptic number.

395534587916160 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 395534587916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921995418009600).

395534587916160 is an abundant number, since it is smaller than the sum of its proper divisors (1448456248103040).

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

395534587916160 is a wasteful number, since it uses less digits than its factorization.

395534587916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 395534587916160 in words is "three hundred ninety-five trillion, five hundred thirty-four billion, five hundred eighty-seven million, nine hundred sixteen thousand, one hundred sixty".