5288368217121 has 128 divisors (see below), whose sum is σ = 8871562444800. Its totient is φ = 3085295028480.

The previous prime is 5288368217113. The next prime is 5288368217131. The reversal of 5288368217121 is 1217128638825.

It is a happy number.

5288368217121 is a `hidden beast` number, since 52 + 8 + 8 + 368 + 217 + 12 + 1 = 666.

It is not a de Polignac number, because 5288368217121 - 2³ = 5288368217113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (5288368217131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520554840 + ... + 520564998.

It is an arithmetic number, because the mean of its divisors is an integer number (69309081600).

Almost surely, 2^{5288368217121} is an apocalyptic number.

It is an amenable number.

5288368217121 is a deficient number, since it is larger than the sum of its proper divisors (3583194227679).

5288368217121 is a wasteful number, since it uses less digits than its factorization.

5288368217121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10710 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 5288368217121 in words is "five trillion, two hundred eighty-eight billion, three hundred sixty-eight million, two hundred seventeen thousand, one hundred twenty-one".