382516079299200 has 2304 divisors, whose sum is σ = 1745061534627840. Its totient is φ = 77466577305600.

The previous prime is 382516079299181. The next prime is 382516079299201. The reversal of 382516079299200 is 2992970615283.

382516079299200 is a `hidden beast` number, since 3 + 8 + 2 + 516 + 0 + 7 + 9 + 2 + 99 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (382516079299201) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 46438757482 + ... + 46438765718.

It is an arithmetic number, because the mean of its divisors is an integer number (757405179960).

Almost surely, 2^{382516079299200} is an apocalyptic number.

382516079299200 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 382516079299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872530767313920).

382516079299200 is an abundant number, since it is smaller than the sum of its proper divisors (1362545455328640).

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

382516079299200 is a wasteful number, since it uses less digits than its factorization.

382516079299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 382516079299200 in words is "three hundred eighty-two trillion, five hundred sixteen billion, seventy-nine million, two hundred ninety-nine thousand, two hundred".