382027533039360 has 1728 divisors, whose sum is σ = 1471707455662080. Its totient is φ = 90908163440640.

The previous prime is 382027533039359. The next prime is 382027533039431. The reversal of 382027533039360 is 63930335720283.

382027533039360 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 275 + 3 + 3 + 0 + 3 + 9 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382027533039297 and 382027533039306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415699164981 + ... + 415699165899.

It is an arithmetic number, because the mean of its divisors is an integer number (851682555360).

Almost surely, 2^{382027533039360} is an apocalyptic number.

382027533039360 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 382027533039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735853727831040).

382027533039360 is an abundant number, since it is smaller than the sum of its proper divisors (1089679922622720).

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

382027533039360 is a wasteful number, since it uses less digits than its factorization.

382027533039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 382027533039360 in words is "three hundred eighty-two trillion, twenty-seven billion, five hundred thirty-three million, thirty-nine thousand, three hundred sixty".