10085951874411 has 288 divisors, whose sum is σ = 18090580604928. Its totient is φ = 5392373575680.

The previous prime is 10085951874379. The next prime is 10085951874421. The reversal of 10085951874411 is 11447815958001.

10085951874411 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 59 + 518 + 74 + 4 + 1 + 1 = 666.

It is not a de Polignac number, because 10085951874411 - 2⁵ = 10085951874379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10085951874421) by changing a digit.

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, 9227768781 + ... + 9227769873.

Almost surely, 2^{10085951874411} is an apocalyptic number.

10085951874411 is a deficient number, since it is larger than the sum of its proper divisors (8004628730517).

10085951874411 is a wasteful number, since it uses less digits than its factorization.

10085951874411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 10085951874411 in words is "ten trillion, eighty-five billion, nine hundred fifty-one million, eight hundred seventy-four thousand, four hundred eleven".