288223427520 has 2016 divisors, whose sum is σ = 1322046835200. Its totient is φ = 58316267520.

The previous prime is 288223427519. The next prime is 288223427521. The reversal of 288223427520 is 25724322882.

288223427520 is a `hidden beast` number, since 2 + 8 + 82 + 2 + 3 + 42 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (288223427519) and next prime (288223427521).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288223427521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9297529905 + ... + 9297529935.

It is an arithmetic number, because the mean of its divisors is an integer number (655777200).

Almost surely, 2^288223427520 is an apocalyptic number.

288223427520 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 288223427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661023417600).

288223427520 is an abundant number, since it is smaller than the sum of its proper divisors (1033823407680).

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

288223427520 is a wasteful number, since it uses less digits than its factorization.

288223427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 288223427520 in words is "two hundred eighty-eight billion, two hundred twenty-three million, four hundred twenty-seven thousand, five hundred twenty".