288873749298240 has 336 divisors, whose sum is σ = 995069553598848. Its totient is φ = 76919562289152.

The previous prime is 288873749298179. The next prime is 288873749298283. The reversal of 288873749298240 is 42892947378882.

288873749298240 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 7 + 3 + 7 + 492 + 9 + 82 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 288873749298240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5747219349 + ... + 5747269611.

It is an arithmetic number, because the mean of its divisors is an integer number (2961516528568).

Almost surely, 2^{288873749298240} is an apocalyptic number.

288873749298240 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 288873749298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497534776799424).

288873749298240 is an abundant number, since it is smaller than the sum of its proper divisors (706195804300608).

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

288873749298240 is a wasteful number, since it uses less digits than its factorization.

288873749298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53186 (or 53173 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 288873749298240 in words is "two hundred eighty-eight trillion, eight hundred seventy-three billion, seven hundred forty-nine million, two hundred ninety-eight thousand, two hundred forty".