288987955776 has 189 divisors, whose sum is σ = 897471876249. Its totient is φ = 88867763712.

The previous prime is 288987955759. The next prime is 288987955777. The reversal of 288987955776 is 677559789882.

The square root of 288987955776 is 537576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42749697600 + 246238258176 = 206760^2 + 496224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288987955695 and 288987955704.

It is not an unprimeable number, because it can be changed into a prime (288987955777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167722851 + ... + 167724573.

Almost surely, 2^288987955776 is an apocalyptic number.

288987955776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

288987955776 is the 537576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288987955776

288987955776 is an abundant number, since it is smaller than the sum of its proper divisors (608483920473).

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

288987955776 is an equidigital number, since it uses as much as digits as its factorization.

288987955776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 1741 counting only the distinct ones).

The product of its digits is 4267468800, while the sum is 81.

Multiplying 288987955776 by its sum of digits (81), we get a square (23408024417856 = 4838184²).

The spelling of 288987955776 in words is "two hundred eighty-eight billion, nine hundred eighty-seven million, nine hundred fifty-five thousand, seven hundred seventy-six".