288121003056 has 60 divisors (see below), whose sum is σ = 807685023600. Its totient is φ = 95879971200.

The previous prime is 288121003033. The next prime is 288121003127. The reversal of 288121003056 is 650300121882.

It is a happy number.

It is a super-2 number, since 2×288121003056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 288121003056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1583895 + ... + 1756406.

It is an arithmetic number, because the mean of its divisors is an integer number (13461417060).

Almost surely, 2^288121003056 is an apocalyptic number.

It is an amenable number.

288121003056 is an abundant number, since it is smaller than the sum of its proper divisors (519564020544).

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

288121003056 is a wasteful number, since it uses less digits than its factorization.

288121003056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340914 (or 3340905 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 288121003056 in words is "two hundred eighty-eight billion, one hundred twenty-one million, three thousand, fifty-six".