389964728160 has 1512 divisors, whose sum is σ = 1683714927888. Its totient is φ = 85044556800.

The previous prime is 389964728143. The next prime is 389964728183. The reversal of 389964728160 is 61827469983.

389964728160 is a `hidden beast` number, since 3 + 89 + 9 + 6 + 472 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5492460925 + ... + 5492460995.

It is an arithmetic number, because the mean of its divisors is an integer number (1113568074).

Almost surely, 2^389964728160 is an apocalyptic number.

389964728160 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 389964728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841857463944).

389964728160 is an abundant number, since it is smaller than the sum of its proper divisors (1293750199728).

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

389964728160 is an equidigital number, since it uses as much as digits as its factorization.

389964728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 389964728160 in words is "three hundred eighty-nine billion, nine hundred sixty-four million, seven hundred twenty-eight thousand, one hundred sixty".