385011985920 has 160 divisors (see below), whose sum is σ = 1251698279040. Its totient is φ = 100929576960.

The previous prime is 385011985873. The next prime is 385011985931. The reversal of 385011985920 is 29589110583.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28275 + ... + 877965.

It is an arithmetic number, because the mean of its divisors is an integer number (7823114244).

Almost surely, 2^385011985920 is an apocalyptic number.

385011985920 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 385011985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625849139520).

385011985920 is an abundant number, since it is smaller than the sum of its proper divisors (866686293120).

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

385011985920 is an equidigital number, since it uses as much as digits as its factorization.

385011985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849776 (or 849760 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 385011985920 in words is "three hundred eighty-five billion, eleven million, nine hundred eighty-five thousand, nine hundred twenty".