10254576120 has 256 divisors, whose sum is σ = 33256396800. Its totient is φ = 2520391680.

The previous prime is 10254576113. The next prime is 10254576121. The reversal of 10254576120 is 2167545201.

10254576120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254576121) 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, 23792305 + ... + 23792735.

It is an arithmetic number, because the mean of its divisors is an integer number (129907800).

Almost surely, 2^10254576120 is an apocalyptic number.

10254576120 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 10254576120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628198400).

10254576120 is an abundant number, since it is smaller than the sum of its proper divisors (23001820680).

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

10254576120 is a wasteful number, since it uses less digits than its factorization.

10254576120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 10254576120 in words is "ten billion, two hundred fifty-four million, five hundred seventy-six thousand, one hundred twenty".