398518594306560 has 3200 divisors, whose sum is σ = 1854230521651200. Its totient is φ = 79441984880640.

The previous prime is 398518594306519. The next prime is 398518594306583. The reversal of 398518594306560 is 65603495815893.

398518594306560 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 1 + 8 + 59 + 4 + 3 + 0 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 154524463351 + ... + 154524465929.

It is an arithmetic number, because the mean of its divisors is an integer number (579447038016).

Almost surely, 2^{398518594306560} is an apocalyptic number.

398518594306560 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 398518594306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927115260825600).

398518594306560 is an abundant number, since it is smaller than the sum of its proper divisors (1455711927344640).

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

398518594306560 is a wasteful number, since it uses less digits than its factorization.

398518594306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 398518594306560 in words is "three hundred ninety-eight trillion, five hundred eighteen billion, five hundred ninety-four million, three hundred six thousand, five hundred sixty".