385905811520 has 112 divisors (see below), whose sum is σ = 934056966528. Its totient is φ = 151832862720.

The previous prime is 385905811507. The next prime is 385905811523. The reversal of 385905811520 is 25118509583.

It is not an unprimeable number, because it can be changed into a prime (385905811523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9818147 + ... + 9857373.

It is an arithmetic number, because the mean of its divisors is an integer number (8339794344).

Almost surely, 2^385905811520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385905811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467028483264).

385905811520 is an abundant number, since it is smaller than the sum of its proper divisors (548151155008).

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

385905811520 is a wasteful number, since it uses less digits than its factorization.

385905811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39748 (or 39738 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 47.

The spelling of 385905811520 in words is "three hundred eighty-five billion, nine hundred five million, eight hundred eleven thousand, five hundred twenty".