382513969920 has 288 divisors, whose sum is σ = 1335249377280. Its totient is φ = 92906127360.

The previous prime is 382513969909. The next prime is 382513969931. The reversal of 382513969920 is 29969315283.

It is an interprime number because it is at equal distance from previous prime (382513969909) and next prime (382513969931).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929171 + ... + 2118189.

It is an arithmetic number, because the mean of its divisors is an integer number (4636282560).

Almost surely, 2^382513969920 is an apocalyptic number.

382513969920 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 382513969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667624688640).

382513969920 is an abundant number, since it is smaller than the sum of its proper divisors (952735407360).

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

382513969920 is a wasteful number, since it uses less digits than its factorization.

382513969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189091 (or 189077 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 382513969920 in words is "three hundred eighty-two billion, five hundred thirteen million, nine hundred sixty-nine thousand, nine hundred twenty".