288840196125 has 48 divisors (see below), whose sum is σ = 560735129136. Its totient is φ = 142198243200.

The previous prime is 288840196121. The next prime is 288840196159. The reversal of 288840196125 is 521691048882.

288840196125 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 4 + 0 + 19 + 612 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 60526332441 + 228313863684 = 246021^2 + 477822^2 .

It is not a de Polignac number, because 288840196125 - 2² = 288840196121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288840196121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9860254 + ... + 9889503.

It is an arithmetic number, because the mean of its divisors is an integer number (11681981857).

Almost surely, 2^288840196125 is an apocalyptic number.

288840196125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288840196125 is a deficient number, since it is larger than the sum of its proper divisors (271894933011).

288840196125 is a wasteful number, since it uses less digits than its factorization.

288840196125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19749791 (or 19749778 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 288840196125 in words is "two hundred eighty-eight billion, eight hundred forty million, one hundred ninety-six thousand, one hundred twenty-five".