10003048560 has 320 divisors, whose sum is σ = 36464332800. Its totient is φ = 2513452032.

The previous prime is 10003048553. The next prime is 10003048567. The reversal of 10003048560 is 6584030001.

It is an interprime number because it is at equal distance from previous prime (10003048553) and next prime (10003048567).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003048567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9151374 + ... + 9152466.

It is an arithmetic number, because the mean of its divisors is an integer number (113951040).

Almost surely, 2^10003048560 is an apocalyptic number.

10003048560 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 10003048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232166400).

10003048560 is an abundant number, since it is smaller than the sum of its proper divisors (26461284240).

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

10003048560 is a wasteful number, since it uses less digits than its factorization.

10003048560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10003048560 its reverse (6584030001), we get a palindrome (16587078561).

The spelling of 10003048560 in words is "ten billion, three million, forty-eight thousand, five hundred sixty".