10149126888825 has 288 divisors, whose sum is σ = 20098338624000. Its totient is φ = 5069696947200.

The previous prime is 10149126888757. The next prime is 10149126888871. The reversal of 10149126888825 is 52888862194101.

10149126888825 is a `hidden beast` number, since 1 + 0 + 1 + 491 + 2 + 68 + 8 + 8 + 82 + 5 = 666.

It is not a de Polignac number, because 10149126888825 - 2¹⁹ = 10149126364537 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 644422051 + ... + 644437799.

It is an arithmetic number, because the mean of its divisors is an integer number (69785898000).

Almost surely, 2^{10149126888825} is an apocalyptic number.

10149126888825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10149126888825 is a deficient number, since it is larger than the sum of its proper divisors (9949211735175).

10149126888825 is a wasteful number, since it uses less digits than its factorization.

10149126888825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15919 (or 15902 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

It can be divided in two parts, 10149126 and 888825, that added together give a triangular number (11037951 = T₄₆₉₈).

The spelling of 10149126888825 in words is "ten trillion, one hundred forty-nine billion, one hundred twenty-six million, eight hundred eighty-eight thousand, eight hundred twenty-five".