385209995520 has 432 divisors, whose sum is σ = 1469829509568. Its totient is φ = 85666775040.

The previous prime is 385209995501. The next prime is 385209995543. The reversal of 385209995520 is 25599902583.

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 47 ways as a sum of consecutive naturals, for example, 6934255 + ... + 6989585.

It is an arithmetic number, because the mean of its divisors is an integer number (3402383124).

Almost surely, 2^385209995520 is an apocalyptic number.

385209995520 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 385209995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734914754784).

385209995520 is an abundant number, since it is smaller than the sum of its proper divisors (1084619514048).

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

385209995520 is a wasteful number, since it uses less digits than its factorization.

385209995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55406 (or 55385 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 385209995520 in words is "three hundred eighty-five billion, two hundred nine million, nine hundred ninety-five thousand, five hundred twenty".