10506209985 has 48 divisors (see below), whose sum is σ = 18358179840. Its totient is φ = 5558129280.

The previous prime is 10506209983. The next prime is 10506209993. The reversal of 10506209985 is 58990260501.

10506209985 is a `hidden beast` number, since 10 + 5 + 0 + 620 + 9 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 10506209985 - 2¹ = 10506209983 is a prime.

It is a super-2 number, since 2×10506209985² (a number of 21 digits) contains 22 as substring.

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 10506209985.

It is not an unprimeable number, because it can be changed into a prime (10506209983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3410676 + ... + 3413754.

It is an arithmetic number, because the mean of its divisors is an integer number (382462080).

Almost surely, 2^10506209985 is an apocalyptic number.

10506209985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506209985 is a deficient number, since it is larger than the sum of its proper divisors (7851969855).

10506209985 is a wasteful number, since it uses less digits than its factorization.

10506209985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10506209985 in words is "ten billion, five hundred six million, two hundred nine thousand, nine hundred eighty-five".