10052944128 has 72 divisors (see below), whose sum is σ = 29728344800. Its totient is φ = 3350979072.

The previous prime is 10052944117. The next prime is 10052944133. The reversal of 10052944128 is 82144925001.

10052944128 is a `hidden beast` number, since 1 + 0 + 0 + 529 + 4 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10052944092 and 10052944101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720298 + ... + 734121.

Almost surely, 2^10052944128 is an apocalyptic number.

10052944128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10052944128 is an abundant number, since it is smaller than the sum of its proper divisors (19675400672).

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

10052944128 is an equidigital number, since it uses as much as digits as its factorization.

10052944128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454444 (or 1454424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10052944128 in words is "ten billion, fifty-two million, nine hundred forty-four thousand, one hundred twenty-eight".