10053808668 has 96 divisors (see below), whose sum is σ = 27237772800. Its totient is φ = 3200959872.

The previous prime is 10053808663. The next prime is 10053808697. The reversal of 10053808668 is 86680835001.

10053808668 is a `hidden beast` number, since 100 + 538 + 0 + 8 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053808663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007055 + ... + 2012057.

It is an arithmetic number, because the mean of its divisors is an integer number (283726800).

Almost surely, 2^10053808668 is an apocalyptic number.

10053808668 is a gapful number since it is divisible by the number (18) 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 10053808668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618886400).

10053808668 is an abundant number, since it is smaller than the sum of its proper divisors (17183964132).

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

10053808668 is a wasteful number, since it uses less digits than its factorization.

10053808668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10053808668 in words is "ten billion, fifty-three million, eight hundred eight thousand, six hundred sixty-eight".