10118553360 has 320 divisors, whose sum is σ = 33892473600. Its totient is φ = 2489647104.

The previous prime is 10118553307. The next prime is 10118553373. The reversal of 10118553360 is 6335581101.

10118553360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37615306 + ... + 37615574.

It is an arithmetic number, because the mean of its divisors is an integer number (105913980).

Almost surely, 2^10118553360 is an apocalyptic number.

10118553360 is a gapful number since it is divisible by the number (10) 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 10118553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946236800).

10118553360 is an abundant number, since it is smaller than the sum of its proper divisors (23773920240).

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

10118553360 is a wasteful number, since it uses less digits than its factorization.

10118553360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 10118553360 in words is "ten billion, one hundred eighteen million, five hundred fifty-three thousand, three hundred sixty".