288945256320 has 1024 divisors, whose sum is σ = 1216025395200. Its totient is φ = 63452160000.

The previous prime is 288945256309. The next prime is 288945256331. The reversal of 288945256320 is 23652549882.

288945256320 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 4 + 52 + 563 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (288945256309) and next prime (288945256331).

It is a super-2 number, since 2×288945256320² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941189607 + ... + 941189913.

It is an arithmetic number, because the mean of its divisors is an integer number (1187524800).

Almost surely, 2^288945256320 is an apocalyptic number.

288945256320 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 288945256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608012697600).

288945256320 is an abundant number, since it is smaller than the sum of its proper divisors (927080138880).

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

288945256320 is a wasteful number, since it uses less digits than its factorization.

288945256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 288945256320 in words is "two hundred eighty-eight billion, nine hundred forty-five million, two hundred fifty-six thousand, three hundred twenty".