288113380913280 has 512 divisors, whose sum is σ = 1037706843962880. Its totient is φ = 67461916262400.

The previous prime is 288113380913249. The next prime is 288113380913381. The reversal of 288113380913280 is 82319083311882.

It is a super-2 number, since 2×288113380913280² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 288113380913280.

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, 102522100 + ... + 105294860.

It is an arithmetic number, because the mean of its divisors is an integer number (2026771179615).

Almost surely, 2^{288113380913280} is an apocalyptic number.

288113380913280 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 288113380913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518853421981440).

288113380913280 is an abundant number, since it is smaller than the sum of its proper divisors (749593463049600).

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

288113380913280 is a wasteful number, since it uses less digits than its factorization.

288113380913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773000 (or 2772988 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 288113380913280 in words is "two hundred eighty-eight trillion, one hundred thirteen billion, three hundred eighty million, nine hundred thirteen thousand, two hundred eighty".