385775008819200 has 13824 divisors, whose sum is σ = 2173814466969600. Its totient is φ = 64465403904000.

The previous prime is 385775008819171. The next prime is 385775008819201. The reversal of 385775008819200 is 2918800577583.

385775008819200 is a `hidden beast` number, since 3 + 8 + 577 + 50 + 0 + 8 + 8 + 1 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (13824).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (385775008819201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 12444355123185 + ... + 12444355123215.

It is an arithmetic number, because the mean of its divisors is an integer number (157249310400).

Almost surely, 2^{385775008819200} is an apocalyptic number.

385775008819200 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 385775008819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086907233484800).

385775008819200 is an abundant number, since it is smaller than the sum of its proper divisors (1788039458150400).

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

385775008819200 is a wasteful number, since it uses less digits than its factorization.

385775008819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 385775008819200 in words is "three hundred eighty-five trillion, seven hundred seventy-five billion, eight million, eight hundred nineteen thousand, two hundred".