288160830720 has 1728 divisors, whose sum is σ = 1255303795200. Its totient is φ = 63207309312.

The previous prime is 288160830719. The next prime is 288160830721. The reversal of 288160830720 is 27038061882.

288160830720 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 608 + 30 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (288160830719) and next prime (288160830721).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×288160830720² (a number of 24 digits) contains 22 as substring.

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 (288160830721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3947408604 + ... + 3947408676.

Almost surely, 2^288160830720 is an apocalyptic number.

288160830720 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 288160830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627651897600).

288160830720 is an abundant number, since it is smaller than the sum of its proper divisors (967142964480).

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

288160830720 is an frugal number, since it uses more digits than its factorization.

288160830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 288160830720 in words is "two hundred eighty-eight billion, one hundred sixty million, eight hundred thirty thousand, seven hundred twenty".