8820838103553 has 64 divisors (see below), whose sum is σ = 15452236684800. Its totient is φ = 4865884047360.

The previous prime is 8820838103549. The next prime is 8820838103563. The reversal of 8820838103553 is 3553018380288.

It is a happy number.

8820838103553 is a `hidden beast` number, since 8 + 8 + 2 + 0 + 8 + 3 + 81 + 0 + 3 + 553 = 666.

It is not a de Polignac number, because 8820838103553 - 2² = 8820838103549 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 a self number, because there is not a number n which added to its sum of digits gives 8820838103553.

It is not an unprimeable number, because it can be changed into a prime (8820838103533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34694133 + ... + 34947453.

It is an arithmetic number, because the mean of its divisors is an integer number (241441198200).

Almost surely, 2^{8820838103553} is an apocalyptic number.

It is an amenable number.

8820838103553 is a deficient number, since it is larger than the sum of its proper divisors (6631398581247).

8820838103553 is a wasteful number, since it uses less digits than its factorization.

8820838103553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259719 (or 259713 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8820838103553 in words is "eight trillion, eight hundred twenty billion, eight hundred thirty-eight million, one hundred three thousand, five hundred fifty-three".