10263527120 has 320 divisors, whose sum is σ = 31184289792. Its totient is φ = 3048192000.

The previous prime is 10263527119. The next prime is 10263527137. The reversal of 10263527120 is 2172536201.

It is a happy number.

10263527120 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 an unprimeable number.

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, 13557782 + ... + 13558538.

Almost surely, 2^10263527120 is an apocalyptic number.

10263527120 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 10263527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592144896).

10263527120 is an abundant number, since it is smaller than the sum of its proper divisors (20920762672).

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

10263527120 is a wasteful number, since it uses less digits than its factorization.

10263527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 10263527120 in words is "ten billion, two hundred sixty-three million, five hundred twenty-seven thousand, one hundred twenty".