398853065520 has 1440 divisors, whose sum is σ = 1798044917760. Its totient is φ = 81360599040.

The previous prime is 398853065519. The next prime is 398853065549. The reversal of 398853065520 is 25560358893.

398853065520 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 53 + 0 + 65 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383881161 + ... + 383882199.

It is an arithmetic number, because the mean of its divisors is an integer number (1248642304).

Almost surely, 2^398853065520 is an apocalyptic number.

398853065520 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 398853065520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899022458880).

398853065520 is an abundant number, since it is smaller than the sum of its proper divisors (1399191852240).

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

398853065520 is a wasteful number, since it uses less digits than its factorization.

398853065520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 398853065520 in words is "three hundred ninety-eight billion, eight hundred fifty-three million, sixty-five thousand, five hundred twenty".