288125861620 has 48 divisors (see below), whose sum is σ = 615405470400. Its totient is φ = 113281145600.

The previous prime is 288125861557. The next prime is 288125861629. The reversal of 288125861620 is 26168521882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288125861629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12093720 + ... + 12117520.

It is an arithmetic number, because the mean of its divisors is an integer number (12820947300).

Almost surely, 2^288125861620 is an apocalyptic number.

288125861620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288125861620 is an abundant number, since it is smaller than the sum of its proper divisors (327279608780).

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

288125861620 is a wasteful number, since it uses less digits than its factorization.

288125861620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34128 (or 34126 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 288125861620 in words is "two hundred eighty-eight billion, one hundred twenty-five million, eight hundred sixty-one thousand, six hundred twenty".