10500953985 has 24 divisors (see below), whose sum is σ = 18253243944. Its totient is φ = 5584634880.

The previous prime is 10500953977. The next prime is 10500954001. The reversal of 10500953985 is 58935900501.

10500953985 is a `hidden beast` number, since 1 + 0 + 500 + 9 + 53 + 98 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1989784449 + 8511169536 = 44607^2 + 92256^2 .

It is not a de Polignac number, because 10500953985 - 2³ = 10500953977 is a prime.

It is a super-2 number, since 2×10500953985² (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 10500953985.

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 23 ways as a sum of consecutive naturals, for example, 314646 + ... + 346415.

It is an arithmetic number, because the mean of its divisors is an integer number (760551831).

Almost surely, 2^10500953985 is an apocalyptic number.

10500953985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500953985 is a deficient number, since it is larger than the sum of its proper divisors (7752289959).

10500953985 is a wasteful number, since it uses less digits than its factorization.

10500953985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661425 (or 661422 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 10500953985 in words is "ten billion, five hundred million, nine hundred fifty-three thousand, nine hundred eighty-five".