385985748960 has 576 divisors, whose sum is σ = 1599219707904. Its totient is φ = 86070988800.

The previous prime is 385985748959. The next prime is 385985748989. The reversal of 385985748960 is 69847589583.

385985748960 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 85 + 7 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11141265 + ... + 11175855.

It is an arithmetic number, because the mean of its divisors is an integer number (2776423104).

Almost surely, 2^385985748960 is an apocalyptic number.

385985748960 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 385985748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799609853952).

385985748960 is an abundant number, since it is smaller than the sum of its proper divisors (1213233958944).

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

385985748960 is a wasteful number, since it uses less digits than its factorization.

385985748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34669 (or 34649 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 385985748960 in words is "three hundred eighty-five billion, nine hundred eighty-five million, seven hundred forty-eight thousand, nine hundred sixty".