10585036777 has 16 divisors (see below), whose sum is σ = 12314649600. Its totient is φ = 8910101520.

The previous prime is 10585036771. The next prime is 10585036807. The reversal of 10585036777 is 77763058501.

It is a cyclic number.

It is not a de Polignac number, because 10585036777 - 2¹⁵ = 10585004009 is a prime.

It is a super-2 number, since 2×10585036777² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10585036777.

It is not an unprimeable number, because it can be changed into a prime (10585036771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413374 + ... + 438232.

It is an arithmetic number, because the mean of its divisors is an integer number (769665600).

Almost surely, 2^10585036777 is an apocalyptic number.

It is an amenable number.

10585036777 is a deficient number, since it is larger than the sum of its proper divisors (1729612823).

10585036777 is a wasteful number, since it uses less digits than its factorization.

10585036777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25956.

The product of its (nonzero) digits is 1234800, while the sum is 49.

The spelling of 10585036777 in words is "ten billion, five hundred eighty-five million, thirty-six thousand, seven hundred seventy-seven".