382116025200 has 960 divisors, whose sum is σ = 1547420958720. Its totient is φ = 78463365120.

The previous prime is 382116025157. The next prime is 382116025211. The reversal of 382116025200 is 2520611283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 818235367 + ... + 818235833.

It is an arithmetic number, because the mean of its divisors is an integer number (1611896832).

Almost surely, 2^382116025200 is an apocalyptic number.

382116025200 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 382116025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773710479360).

382116025200 is an abundant number, since it is smaller than the sum of its proper divisors (1165304933520).

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

382116025200 is a wasteful number, since it uses less digits than its factorization.

382116025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 382116025200 its reverse (2520611283), we get a palindrome (384636636483).

The spelling of 382116025200 in words is "three hundred eighty-two billion, one hundred sixteen million, twenty-five thousand, two hundred".