285029133312 has 396 divisors, whose sum is σ = 971446018200. Its totient is φ = 74028810240.

The previous prime is 285029133307. The next prime is 285029133331. The reversal of 285029133312 is 213331920582.

It is a super-3 number, since 3×285029133312³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18206064 + ... + 18221712.

Almost surely, 2^285029133312 is an apocalyptic number.

285029133312 is a gapful number since it is divisible by the number (22) 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 285029133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485723009100).

285029133312 is an abundant number, since it is smaller than the sum of its proper divisors (686416884888).

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

285029133312 is a wasteful number, since it uses less digits than its factorization.

285029133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 285029133312 in words is "two hundred eighty-five billion, twenty-nine million, one hundred thirty-three thousand, three hundred twelve".