288980254080 has 768 divisors, whose sum is σ = 1206155059200. Its totient is φ = 62351769600.

The previous prime is 288980253983. The next prime is 288980254081. The reversal of 288980254080 is 80452089882.

It is a happy number.

288980254080 is a `hidden beast` number, since 2 + 8 + 8 + 98 + 0 + 2 + 540 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288980254081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51243901 + ... + 51249539.

It is an arithmetic number, because the mean of its divisors is an integer number (1570514400).

Almost surely, 2^288980254080 is an apocalyptic number.

288980254080 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 288980254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603077529600).

288980254080 is an abundant number, since it is smaller than the sum of its proper divisors (917174805120).

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

288980254080 is a wasteful number, since it uses less digits than its factorization.

288980254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 288980254080 in words is "two hundred eighty-eight billion, nine hundred eighty million, two hundred fifty-four thousand, eighty".