288397025280 has 672 divisors, whose sum is σ = 1230561993024. Its totient is φ = 60841525248.

The previous prime is 288397025263. The next prime is 288397025309. The reversal of 288397025280 is 82520793882.

It is a happy number.

288397025280 is a `hidden beast` number, since 2 + 88 + 39 + 7 + 0 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33541942 + ... + 33550538.

It is an arithmetic number, because the mean of its divisors is an integer number (1831193442).

Almost surely, 2^288397025280 is an apocalyptic number.

288397025280 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 288397025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615280996512).

288397025280 is an abundant number, since it is smaller than the sum of its proper divisors (942164967744).

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

288397025280 is a wasteful number, since it uses less digits than its factorization.

288397025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 288397025280 in words is "two hundred eighty-eight billion, three hundred ninety-seven million, twenty-five thousand, two hundred eighty".