380006503892280 has 768 divisors, whose sum is σ = 1376094608179200. Its totient is φ = 90509470571520.

The previous prime is 380006503892243. The next prime is 380006503892311. The reversal of 380006503892280 is 82298305600083.

380006503892280 is a `hidden beast` number, since 38 + 0 + 0 + 0 + 6 + 5 + 0 + 389 + 228 + 0 = 666.

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, 5627774599 + ... + 5627842121.

It is an arithmetic number, because the mean of its divisors is an integer number (1791789854400).

Almost surely, 2^{380006503892280} is an apocalyptic number.

380006503892280 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 380006503892280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688047304089600).

380006503892280 is an abundant number, since it is smaller than the sum of its proper divisors (996088104286920).

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

380006503892280 is a wasteful number, since it uses less digits than its factorization.

380006503892280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68096 (or 68089 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 380006503892280 in words is "three hundred eighty trillion, six billion, five hundred three million, eight hundred ninety-two thousand, two hundred eighty".