288099299900016 has 240 divisors, whose sum is σ = 917861485462272. Its totient is φ = 83503116364800.

The previous prime is 288099299899969. The next prime is 288099299900017. The reversal of 288099299900016 is 610009992990882.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288099299900017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824755156 + ... + 825104396.

Almost surely, 2^{288099299900016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288099299900016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458930742731136).

288099299900016 is an abundant number, since it is smaller than the sum of its proper divisors (629762185562256).

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

288099299900016 is a wasteful number, since it uses less digits than its factorization.

288099299900016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371932 (or 371923 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 288099299900016 in words is "two hundred eighty-eight trillion, ninety-nine billion, two hundred ninety-nine million, nine hundred thousand, sixteen".