380528356560 has 640 divisors, whose sum is σ = 1385911296000. Its totient is φ = 85399142400.

The previous prime is 380528356513. The next prime is 380528356561. The reversal of 380528356560 is 65653825083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380528356561) 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 127 ways as a sum of consecutive naturals, for example, 431927320 + ... + 431928200.

It is an arithmetic number, because the mean of its divisors is an integer number (2165486400).

Almost surely, 2^380528356560 is an apocalyptic number.

380528356560 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 380528356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692955648000).

380528356560 is an abundant number, since it is smaller than the sum of its proper divisors (1005382939440).

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

380528356560 is a wasteful number, since it uses less digits than its factorization.

380528356560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 380528356560 in words is "three hundred eighty billion, five hundred twenty-eight million, three hundred fifty-six thousand, five hundred sixty".