285241248600 has 768 divisors, whose sum is σ = 1143698227200. Its totient is φ = 57072384000.

The previous prime is 285241248583. The next prime is 285241248619. The reversal of 285241248600 is 6842142582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396719041 + ... + 396719759.

It is an arithmetic number, because the mean of its divisors is an integer number (1489190400).

Almost surely, 2^285241248600 is an apocalyptic number.

285241248600 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 285241248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571849113600).

285241248600 is an abundant number, since it is smaller than the sum of its proper divisors (858456978600).

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

285241248600 is a wasteful number, since it uses less digits than its factorization.

285241248600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 285241248600 in words is "two hundred eighty-five billion, two hundred forty-one million, two hundred forty-eight thousand, six hundred".