288798792480 has 864 divisors, whose sum is σ = 1129689759744. Its totient is φ = 67060224000.

The previous prime is 288798792463. The next prime is 288798792553. The reversal of 288798792480 is 84297897882.

288798792480 is a `hidden beast` number, since 2 + 8 + 8 + 79 + 8 + 79 + 2 + 480 = 666.

It is a super-2 number, since 2×288798792480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 288798792399 and 288798792408.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685982670 + ... + 685983090.

It is an arithmetic number, because the mean of its divisors is an integer number (1307511296).

Almost surely, 2^288798792480 is an apocalyptic number.

288798792480 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 288798792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564844879872).

288798792480 is an abundant number, since it is smaller than the sum of its proper divisors (840890967264).

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

288798792480 is a wasteful number, since it uses less digits than its factorization.

288798792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 288798792480 in words is "two hundred eighty-eight billion, seven hundred ninety-eight million, seven hundred ninety-two thousand, four hundred eighty".