288622348560 has 480 divisors, whose sum is σ = 1194149069568. Its totient is φ = 60836106240.

The previous prime is 288622348543. The next prime is 288622348561. The reversal of 288622348560 is 65843226882.

It is a happy number.

288622348560 is a `hidden beast` number, since 2 + 8 + 8 + 622 + 3 + 4 + 8 + 5 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 288622348497 and 288622348506.

It is not an unprimeable number, because it can be changed into a prime (288622348561) 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, 105682395 + ... + 105685125.

Almost surely, 2^288622348560 is an apocalyptic number.

288622348560 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 288622348560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597074534784).

288622348560 is an abundant number, since it is smaller than the sum of its proper divisors (905526721008).

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

288622348560 is a wasteful number, since it uses less digits than its factorization.

288622348560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 288622348560 in words is "two hundred eighty-eight billion, six hundred twenty-two million, three hundred forty-eight thousand, five hundred sixty".