284275255680 has 768 divisors, whose sum is σ = 1077840691200. Its totient is φ = 68623220736.

The previous prime is 284275255643. The next prime is 284275255687. The reversal of 284275255680 is 86552572482.

284275255680 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 7 + 5 + 2 + 556 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284275255687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1588129831 + ... + 1588130009.

It is an arithmetic number, because the mean of its divisors is an integer number (1403438400).

Almost surely, 2^284275255680 is an apocalyptic number.

284275255680 is a gapful number since it is divisible by the number (20) 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 284275255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538920345600).

284275255680 is an abundant number, since it is smaller than the sum of its proper divisors (793565435520).

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

284275255680 is a wasteful number, since it uses less digits than its factorization.

284275255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 284275255680 in words is "two hundred eighty-four billion, two hundred seventy-five million, two hundred fifty-five thousand, six hundred eighty".