382872158622720 has 1232 divisors, whose sum is σ = 1489481774015760. Its totient is φ = 93831179010048.

The previous prime is 382872158622689. The next prime is 382872158622721. The reversal of 382872158622720 is 27226851278283.

382872158622720 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 7 + 2 + 1 + 586 + 2 + 27 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1524375438336 + 381347783184384 = 1234656^2 + 19528128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382872158622721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11111575732 + ... + 11111610188.

Almost surely, 2^{382872158622720} is an apocalyptic number.

382872158622720 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 382872158622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744740887007880).

382872158622720 is an abundant number, since it is smaller than the sum of its proper divisors (1106609615393040).

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

382872158622720 is a wasteful number, since it uses less digits than its factorization.

382872158622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34742 (or 34709 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 382872158622720 in words is "three hundred eighty-two trillion, eight hundred seventy-two billion, one hundred fifty-eight million, six hundred twenty-two thousand, seven hundred twenty".