285126048000 has 576 divisors, whose sum is σ = 1056511223040. Its totient is φ = 75727872000.

The previous prime is 285126047963. The next prime is 285126048023. The reversal of 285126048000 is 840621582.

285126048000 is a `hidden beast` number, since 2 + 8 + 512 + 60 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285983502 + ... + 285984498.

Almost surely, 2^285126048000 is an apocalyptic number.

285126048000 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 285126048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528255611520).

285126048000 is an abundant number, since it is smaller than the sum of its proper divisors (771385175040).

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

285126048000 is an equidigital number, since it uses as much as digits as its factorization.

285126048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 285126048000 its reverse (840621582), we get a palindrome (285966669582).

The spelling of 285126048000 in words is "two hundred eighty-five billion, one hundred twenty-six million, forty-eight thousand".