288678243409920 has 3584 divisors, whose sum is σ = 1380903389429760. Its totient is φ = 55465727754240.

The previous prime is 288678243409909. The next prime is 288678243409991. The reversal of 288678243409920 is 29904342876882.

288678243409920 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 7 + 82 + 434 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53036602719 + ... + 53036608161.

It is an arithmetic number, because the mean of its divisors is an integer number (385296704640).

Almost surely, 2^{288678243409920} is an apocalyptic number.

288678243409920 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 288678243409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690451694714880).

288678243409920 is an abundant number, since it is smaller than the sum of its proper divisors (1092225146019840).

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

288678243409920 is a wasteful number, since it uses less digits than its factorization.

288678243409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 288678243409920 in words is "two hundred eighty-eight trillion, six hundred seventy-eight billion, two hundred forty-three million, four hundred nine thousand, nine hundred twenty".