288550272000 has 704 divisors, whose sum is σ = 1029792052224. Its totient is φ = 71530905600.

The previous prime is 288550271993. The next prime is 288550272007. The reversal of 288550272000 is 272055882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288550271993) and next prime (288550272007).

It is a super-2 number, since 2×288550272000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 288550272000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288550272007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326783559 + ... + 326784441.

Almost surely, 2^288550272000 is an apocalyptic number.

288550272000 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 288550272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514896026112).

288550272000 is an abundant number, since it is smaller than the sum of its proper divisors (741241780224).

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

288550272000 is a wasteful number, since it uses less digits than its factorization.

288550272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 288550272000 in words is "two hundred eighty-eight billion, five hundred fifty million, two hundred seventy-two thousand".