10038525120 has 168 divisors, whose sum is σ = 37184508816. Its totient is φ = 2471012352.

The previous prime is 10038525103. The next prime is 10038525179. The reversal of 10038525120 is 2152583001.

It is a happy number.

10038525120 is a `hidden beast` number, since 10 + 0 + 3 + 8 + 525 + 120 = 666.

10038525120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 96622 + ... + 171501.

It is an arithmetic number, because the mean of its divisors is an integer number (221336362).

Almost surely, 2^10038525120 is an apocalyptic number.

10038525120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10038525120 is an abundant number, since it is smaller than the sum of its proper divisors (27145983696).

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

10038525120 is a wasteful number, since it uses less digits than its factorization.

10038525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268159 (or 268146 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10038525120 in words is "ten billion, thirty-eight million, five hundred twenty-five thousand, one hundred twenty".