288162796900 has 144 divisors (see below), whose sum is σ = 717688564992. Its totient is φ = 99467136000.

The previous prime is 288162796877. The next prime is 288162796931. The reversal of 288162796900 is 9697261882.

It is a super-2 number, since 2×288162796900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582357 + ... + 1755043.

It is an arithmetic number, because the mean of its divisors is an integer number (4983948368).

Almost surely, 2^288162796900 is an apocalyptic number.

288162796900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288162796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358844282496).

288162796900 is an abundant number, since it is smaller than the sum of its proper divisors (429525768092).

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

288162796900 is a wasteful number, since it uses less digits than its factorization.

288162796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172790 (or 172783 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 288162796900 in words is "two hundred eighty-eight billion, one hundred sixty-two million, seven hundred ninety-six thousand, nine hundred".