382519660992 has 224 divisors, whose sum is σ = 1198843261440. Its totient is φ = 105360445440.

The previous prime is 382519660987. The next prime is 382519661087. The reversal of 382519660992 is 299066915283.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5385067 + ... + 5455637.

Almost surely, 2^382519660992 is an apocalyptic number.

382519660992 is a gapful number since it is divisible by the number (32) 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 382519660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599421630720).

382519660992 is an abundant number, since it is smaller than the sum of its proper divisors (816323600448).

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

382519660992 is a wasteful number, since it uses less digits than its factorization.

382519660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70739 (or 70729 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 382519660992 in words is "three hundred eighty-two billion, five hundred nineteen million, six hundred sixty thousand, nine hundred ninety-two".