288004788019872 has 3840 divisors, whose sum is σ = 1216864861470720. Its totient is φ = 64473963724800.

The previous prime is 288004788019813. The next prime is 288004788019901. The reversal of 288004788019872 is 278910887400882.

288004788019872 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 0 + 478 + 80 + 1 + 9 + 8 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 288004788019872.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 296606372347 + ... + 296606373317.

It is an arithmetic number, because the mean of its divisors is an integer number (316891891008).

Almost surely, 2^{288004788019872} is an apocalyptic number.

288004788019872 is a gapful number since it is divisible by the number (22) 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 288004788019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608432430735360).

288004788019872 is an abundant number, since it is smaller than the sum of its proper divisors (928860073450848).

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

288004788019872 is a wasteful number, since it uses less digits than its factorization.

288004788019872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 72.

The spelling of 288004788019872 in words is "two hundred eighty-eight trillion, four billion, seven hundred eighty-eight million, nineteen thousand, eight hundred seventy-two".