10603800480 has 768 divisors, whose sum is σ = 43698880512. Its totient is φ = 2101248000.

The previous prime is 10603800463. The next prime is 10603800491. The reversal of 10603800480 is 8400830601.

It is a happy number.

It is a super-2 number, since 2×10603800480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55517185 + ... + 55517375.

It is an arithmetic number, because the mean of its divisors is an integer number (56899584).

Almost surely, 2^10603800480 is an apocalyptic number.

10603800480 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 10603800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849440256).

10603800480 is an abundant number, since it is smaller than the sum of its proper divisors (33095080032).

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

10603800480 is a wasteful number, since it uses less digits than its factorization.

10603800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10603800480 in words is "ten billion, six hundred three million, eight hundred thousand, four hundred eighty".