286225886484720 has 1920 divisors, whose sum is σ = 1222262890168320. Its totient is φ = 58426987806720.

The previous prime is 286225886484619. The next prime is 286225886484737. The reversal of 286225886484720 is 27484688522682.

286225886484720 is a `hidden beast` number, since 2 + 8 + 6 + 22 + 58 + 8 + 6 + 484 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84407514225 + ... + 84407517615.

It is an arithmetic number, because the mean of its divisors is an integer number (636595255296).

Almost surely, 2^{286225886484720} is an apocalyptic number.

286225886484720 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 286225886484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611131445084160).

286225886484720 is an abundant number, since it is smaller than the sum of its proper divisors (936037003683600).

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

286225886484720 is a wasteful number, since it uses less digits than its factorization.

286225886484720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 1321205760, while the sum is 72.

The spelling of 286225886484720 in words is "two hundred eighty-six trillion, two hundred twenty-five billion, eight hundred eighty-six million, four hundred eighty-four thousand, seven hundred twenty".