285075634680 has 384 divisors, whose sum is σ = 984258475200. Its totient is φ = 74207218176.

The previous prime is 285075634667. The next prime is 285075634681. The reversal of 285075634680 is 86436570582.

285075634680 is a `hidden beast` number, since 2 + 8 + 50 + 75 + 63 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285075634681) 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 95 ways as a sum of consecutive naturals, for example, 1447084342 + ... + 1447084538.

Almost surely, 2^285075634680 is an apocalyptic number.

285075634680 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 285075634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492129237600).

285075634680 is an abundant number, since it is smaller than the sum of its proper divisors (699182840520).

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

285075634680 is an frugal number, since it uses more digits than its factorization.

285075634680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 285075634680 in words is "two hundred eighty-five billion, seventy-five million, six hundred thirty-four thousand, six hundred eighty".