10585790690 has 16 divisors (see below), whose sum is σ = 20175271992. Its totient is φ = 3985238784.

The previous prime is 10585790669. The next prime is 10585790717. The reversal of 10585790690 is 9609758501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8599038361 + 1986752329 = 92731^2 + 44573^2 .

It is a super-2 number, since 2×10585790690² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 31134509 + ... + 31134848.

Almost surely, 2^10585790690 is an apocalyptic number.

10585790690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10585790690 is a deficient number, since it is larger than the sum of its proper divisors (9589481302).

10585790690 is a wasteful number, since it uses less digits than its factorization.

10585790690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62269381.

The product of its (nonzero) digits is 680400, while the sum is 50.

The spelling of 10585790690 in words is "ten billion, five hundred eighty-five million, seven hundred ninety thousand, six hundred ninety".