288947687048040 has 64 divisors (see below), whose sum is σ = 887002202116800. Its totient is φ = 75260792904192.

The previous prime is 288947687048039. The next prime is 288947687048063. The reversal of 288947687048040 is 40840786749882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27998801725 + ... + 27998812044.

It is an arithmetic number, because the mean of its divisors is an integer number (13859409408075).

Almost surely, 2^{288947687048040} is an apocalyptic number.

288947687048040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288947687048040 is an abundant number, since it is smaller than the sum of its proper divisors (598054515068760).

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

288947687048040 is a wasteful number, since it uses less digits than its factorization.

288947687048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55997613826 (or 55997613822 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 75.

The spelling of 288947687048040 in words is "two hundred eighty-eight trillion, nine hundred forty-seven billion, six hundred eighty-seven million, forty-eight thousand, forty".