10003512786085 has 96 divisors (see below), whose sum is σ = 15075262188000. Its totient is φ = 6316331212800.

The previous prime is 10003512786083. The next prime is 10003512786101. The reversal of 10003512786085 is 58068721530001.

It can be written as a sum of positive squares in 16 ways, for example, as 632365305796 + 9371147480289 = 795214^2 + 3061233^2 .

It is not a de Polignac number, because 10003512786085 - 2¹ = 10003512786083 is a prime.

It is a super-2 number, since 2×10003512786085² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003512786083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2702919735 + ... + 2702923435.

It is an arithmetic number, because the mean of its divisors is an integer number (157033981125).

Almost surely, 2^{10003512786085} is an apocalyptic number.

It is an amenable number.

10003512786085 is a deficient number, since it is larger than the sum of its proper divisors (5071749401915).

10003512786085 is a wasteful number, since it uses less digits than its factorization.

10003512786085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 10003512786085 in words is "ten trillion, three billion, five hundred twelve million, seven hundred eighty-six thousand, eighty-five".