389919213573120 has 2640 divisors, whose sum is σ = 1830363971166720. Its totient is φ = 78407162265600.

The previous prime is 389919213573077. The next prime is 389919213573133. The reversal of 389919213573120 is 21375312919983.

389919213573120 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 19 + 21 + 3 + 573 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×389919213573120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 6929528346 + ... + 6929584614.

It is an arithmetic number, because the mean of its divisors is an integer number (693319686048).

Almost surely, 2^{389919213573120} is an apocalyptic number.

389919213573120 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 389919213573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915181985583360).

389919213573120 is an abundant number, since it is smaller than the sum of its proper divisors (1440444757593600).

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

389919213573120 is a wasteful number, since it uses less digits than its factorization.

389919213573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56362 (or 56328 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 389919213573120 in words is "three hundred eighty-nine trillion, nine hundred nineteen billion, two hundred thirteen million, five hundred seventy-three thousand, one hundred twenty".