285878982400 has 216 divisors, whose sum is σ = 772885938384. Its totient is φ = 103826227200.

The previous prime is 285878982349. The next prime is 285878982401. The reversal of 285878982400 is 4289878582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285878982401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70186764 + ... + 70190836.

Almost surely, 2^285878982400 is an apocalyptic number.

285878982400 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 285878982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386442969192).

285878982400 is an abundant number, since it is smaller than the sum of its proper divisors (487006955984).

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

285878982400 is a wasteful number, since it uses less digits than its factorization.

285878982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 61.

The spelling of 285878982400 in words is "two hundred eighty-five billion, eight hundred seventy-eight million, nine hundred eighty-two thousand, four hundred".