10455388160 has 104 divisors (see below), whose sum is σ = 28674528576. Its totient is φ = 3584655360.

The previous prime is 10455388159. The next prime is 10455388187. The reversal of 10455388160 is 6188355401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106895 + ... + 179825.

Almost surely, 2^10455388160 is an apocalyptic number.

10455388160 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 10455388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337264288).

10455388160 is an abundant number, since it is smaller than the sum of its proper divisors (18219140416).

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

10455388160 is an frugal number, since it uses more digits than its factorization.

10455388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72967 (or 72945 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 10455388160 in words is "ten billion, four hundred fifty-five million, three hundred eighty-eight thousand, one hundred sixty".