10248541120 has 84 divisors (see below), whose sum is σ = 25924565880. Its totient is φ = 3858239488.

The previous prime is 10248541109. The next prime is 10248541123. The reversal of 10248541120 is 2114584201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248541123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37071 + ... + 147889.

Almost surely, 2^10248541120 is an apocalyptic number.

10248541120 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 10248541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962282940).

10248541120 is an abundant number, since it is smaller than the sum of its proper divisors (15676024760).

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

10248541120 is a wasteful number, since it uses less digits than its factorization.

10248541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110870 (or 110843 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

It can be divided in two parts, 10248 and 541120, that added together give a cube (551368 = 82³).

The spelling of 10248541120 in words is "ten billion, two hundred forty-eight million, five hundred forty-one thousand, one hundred twenty".