10185280875 has 288 divisors, whose sum is σ = 24125774400. Its totient is φ = 4224528000.

The previous prime is 10185280843. The next prime is 10185280891. The reversal of 10185280875 is 57808258101.

It is not a de Polignac number, because 10185280875 - 2⁵ = 10185280843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10185280875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20010121 + ... + 20010629.

It is an arithmetic number, because the mean of its divisors is an integer number (83770050).

Almost surely, 2^10185280875 is an apocalyptic number.

10185280875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10185280875 is an abundant number, since it is smaller than the sum of its proper divisors (13940493525).

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

10185280875 is a wasteful number, since it uses less digits than its factorization.

10185280875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 10185280875 in words is "ten billion, one hundred eighty-five million, two hundred eighty thousand, eight hundred seventy-five".