288620448480 has 1536 divisors, whose sum is σ = 1386317721600. Its totient is φ = 54273245184.

The previous prime is 288620448449. The next prime is 288620448509. The reversal of 288620448480 is 84844026882.

288620448480 is a `hidden beast` number, since 2 + 8 + 8 + 620 + 4 + 4 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126976624 + ... + 126978896.

It is an arithmetic number, because the mean of its divisors is an integer number (902550600).

Almost surely, 2^288620448480 is an apocalyptic number.

288620448480 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 288620448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693158860800).

288620448480 is an abundant number, since it is smaller than the sum of its proper divisors (1097697273120).

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

288620448480 is a wasteful number, since it uses less digits than its factorization.

288620448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 288620448480 in words is "two hundred eighty-eight billion, six hundred twenty million, four hundred forty-eight thousand, four hundred eighty".