385558160288 has 192 divisors, whose sum is σ = 939269882880. Its totient is φ = 152098560000.

The previous prime is 385558160263. The next prime is 385558160291. The reversal of 385558160288 is 882061855583.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 43794095 + ... + 43802897.

It is an arithmetic number, because the mean of its divisors is an integer number (4892030640).

Almost surely, 2^385558160288 is an apocalyptic number.

385558160288 is a gapful number since it is divisible by the number (38) 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 385558160288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469634941440).

385558160288 is an abundant number, since it is smaller than the sum of its proper divisors (553711722592).

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

385558160288 is a wasteful number, since it uses less digits than its factorization.

385558160288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 59.

The spelling of 385558160288 in words is "three hundred eighty-five billion, five hundred fifty-eight million, one hundred sixty thousand, two hundred eighty-eight".