382090258000 has 80 divisors (see below), whose sum is σ = 1007884687680. Its totient is φ = 138941904000.

The previous prime is 382090257971. The next prime is 382090258007. The reversal of 382090258000 is 852090283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382090258007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8661870 + ... + 8705869.

It is an arithmetic number, because the mean of its divisors is an integer number (12598558596).

Almost surely, 2^382090258000 is an apocalyptic number.

It is an amenable number.

382090258000 is an abundant number, since it is smaller than the sum of its proper divisors (625794429680).

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

382090258000 is a wasteful number, since it uses less digits than its factorization.

382090258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367773 (or 17367757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 382090258000 in words is "three hundred eighty-two billion, ninety million, two hundred fifty-eight thousand".