10585157264773 has 16 divisors (see below), whose sum is σ = 13061901275136. Its totient is φ = 8353202434560.

The previous prime is 10585157264771. The next prime is 10585157264777. The reversal of 10585157264773 is 37746275158501.

It is a cyclic number.

It is not a de Polignac number, because 10585157264773 - 2¹ = 10585157264771 is a prime.

It is a super-2 number, since 2×10585157264773² (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 (10585157264771) 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, 151819468 + ... + 151889173.

It is an arithmetic number, because the mean of its divisors is an integer number (816368829696).

Almost surely, 2^{10585157264773} is an apocalyptic number.

10585157264773 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10585157264773 is a deficient number, since it is larger than the sum of its proper divisors (2476744010363).

10585157264773 is a wasteful number, since it uses less digits than its factorization.

10585157264773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303709044.

The product of its (nonzero) digits is 49392000, while the sum is 61.

The spelling of 10585157264773 in words is "ten trillion, five hundred eighty-five billion, one hundred fifty-seven million, two hundred sixty-four thousand, seven hundred seventy-three".