288126086340 has 96 divisors (see below), whose sum is σ = 849359831040. Its totient is φ = 72777225600.

The previous prime is 288126086333. The next prime is 288126086399. The reversal of 288126086340 is 43680621882.

It is a self number, because there is not a number n which added to its sum of digits gives 288126086340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7860255 + ... + 7896825.

It is an arithmetic number, because the mean of its divisors is an integer number (8847498240).

Almost surely, 2^288126086340 is an apocalyptic number.

288126086340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288126086340 is an abundant number, since it is smaller than the sum of its proper divisors (561233744700).

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

288126086340 is a wasteful number, since it uses less digits than its factorization.

288126086340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43513 (or 43511 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 288126086340 in words is "two hundred eighty-eight billion, one hundred twenty-six million, eighty-six thousand, three hundred forty".