385125355760 has 80 divisors (see below), whose sum is σ = 919127859552. Its totient is φ = 149986099200.

The previous prime is 385125355753. The next prime is 385125355787. The reversal of 385125355760 is 67553521583.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 385125355699 and 385125355708.

It is a congruent number.

It is an unprimeable number.

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, 1490912 + ... + 1730048.

Almost surely, 2^385125355760 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 385125355760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459563929776).

385125355760 is an abundant number, since it is smaller than the sum of its proper divisors (534002503792).

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

385125355760 is a wasteful number, since it uses less digits than its factorization.

385125355760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239682 (or 239676 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 385125355760 in words is "three hundred eighty-five billion, one hundred twenty-five million, three hundred fifty-five thousand, seven hundred sixty".