182385012420 has 960 divisors, whose sum is σ = 678285189120. Its totient is φ = 40633270272.

The previous prime is 182385012409. The next prime is 182385012421. The reversal of 182385012420 is 24210583281.

It is a happy number.

182385012420 is a `hidden beast` number, since 1 + 82 + 38 + 501 + 2 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (182385012421) 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 319 ways as a sum of consecutive naturals, for example, 1436102397 + ... + 1436102523.

It is an arithmetic number, because the mean of its divisors is an integer number (706547072).

Almost surely, 2^182385012420 is an apocalyptic number.

182385012420 is a gapful number since it is divisible by the number (10) 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 182385012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339142594560).

182385012420 is an abundant number, since it is smaller than the sum of its proper divisors (495900176700).

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

182385012420 is a wasteful number, since it uses less digits than its factorization.

182385012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 182385012420 in words is "one hundred eighty-two billion, three hundred eighty-five million, twelve thousand, four hundred twenty".