10448757120 has 256 divisors, whose sum is σ = 33990969600. Its totient is φ = 2729631744.

The previous prime is 10448757119. The next prime is 10448757127. The reversal of 10448757120 is 2175784401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10448757127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27569091 + ... + 27569469.

It is an arithmetic number, because the mean of its divisors is an integer number (132777225).

Almost surely, 2^10448757120 is an apocalyptic number.

10448757120 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 10448757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995484800).

10448757120 is an abundant number, since it is smaller than the sum of its proper divisors (23542212480).

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

10448757120 is a wasteful number, since it uses less digits than its factorization.

10448757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 10448757120 in words is "ten billion, four hundred forty-eight million, seven hundred fifty-seven thousand, one hundred twenty".