10191661585 has 48 divisors (see below), whose sum is σ = 14880059136. Its totient is φ = 6563146752.

The previous prime is 10191661573. The next prime is 10191661609. The reversal of 10191661585 is 58516619101.

10191661585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10191661585 - 2¹¹ = 10191659537 is a prime.

It is a super-3 number, since 3×10191661585³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6604324 + ... + 6605866.

It is an arithmetic number, because the mean of its divisors is an integer number (310001232).

Almost surely, 2^10191661585 is an apocalyptic number.

It is an amenable number.

10191661585 is a deficient number, since it is larger than the sum of its proper divisors (4688397551).

10191661585 is a wasteful number, since it uses less digits than its factorization.

10191661585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 43.

The spelling of 10191661585 in words is "ten billion, one hundred ninety-one million, six hundred sixty-one thousand, five hundred eighty-five".