389551317120 has 2304 divisors, whose sum is σ = 1791910149120. Its totient is φ = 80263249920.

The previous prime is 389551317109. The next prime is 389551317161. The reversal of 389551317120 is 21713155983.

389551317120 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 513 + 1 + 7 + 120 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4015992912 + ... + 4015993008.

It is an arithmetic number, because the mean of its divisors is an integer number (777738780).

Almost surely, 2^389551317120 is an apocalyptic number.

389551317120 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 389551317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895955074560).

389551317120 is an abundant number, since it is smaller than the sum of its proper divisors (1402358832000).

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

389551317120 is a wasteful number, since it uses less digits than its factorization.

389551317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 389551317120 in words is "three hundred eighty-nine billion, five hundred fifty-one million, three hundred seventeen thousand, one hundred twenty".