398162756160 has 504 divisors, whose sum is σ = 1491077113344. Its totient is φ = 97473392640.

The previous prime is 398162756129. The next prime is 398162756191. The reversal of 398162756160 is 61657261893.

398162756160 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 627 + 5 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398162756129) and next prime (398162756191).

It is a junction number, because it is equal to n+sod(n) for n = 398162756097 and 398162756106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92961379 + ... + 92965661.

It is an arithmetic number, because the mean of its divisors is an integer number (2958486336).

Almost surely, 2^398162756160 is an apocalyptic number.

398162756160 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 398162756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745538556672).

398162756160 is an abundant number, since it is smaller than the sum of its proper divisors (1092914357184).

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

398162756160 is a wasteful number, since it uses less digits than its factorization.

398162756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 398162756160 in words is "three hundred ninety-eight billion, one hundred sixty-two million, seven hundred fifty-six thousand, one hundred sixty".