10503580080 has 320 divisors, whose sum is σ = 38497536000. Its totient is φ = 2319114240.

The previous prime is 10503580051. The next prime is 10503580081. The reversal of 10503580080 is 8008530501.

It is a happy number.

10503580080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10503580080² (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 not an unprimeable number, because it can be changed into a prime (10503580081) by changing a digit.

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, 7507221 + ... + 7508619.

It is an arithmetic number, because the mean of its divisors is an integer number (120304800).

Almost surely, 2^10503580080 is an apocalyptic number.

10503580080 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 10503580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248768000).

10503580080 is an abundant number, since it is smaller than the sum of its proper divisors (27993955920).

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

10503580080 is a wasteful number, since it uses less digits than its factorization.

10503580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10503580080 in words is "ten billion, five hundred three million, five hundred eighty thousand, eighty".