11287147876585 has 24 divisors (see below), whose sum is σ = 15870943922760. Its totient is φ = 7683263933184.

The previous prime is 11287147876577. The next prime is 11287147876591. The reversal of 11287147876585 is 58567874178211.

11287147876585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2493408376809 + 8793739499776 = 1579053^2 + 2965424^2 .

It is not a de Polignac number, because 11287147876585 - 2³ = 11287147876577 is a prime.

It is a super-3 number, since 3×11287147876585³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168105090 + ... + 168172219.

It is an arithmetic number, because the mean of its divisors is an integer number (661289330115).

Almost surely, 2^{11287147876585} is an apocalyptic number.

It is an amenable number.

11287147876585 is a deficient number, since it is larger than the sum of its proper divisors (4583796046175).

11287147876585 is a wasteful number, since it uses less digits than its factorization.

11287147876585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336277465 (or 336277458 counting only the distinct ones).

The product of its digits is 210739200, while the sum is 70.

The spelling of 11287147876585 in words is "eleven trillion, two hundred eighty-seven billion, one hundred forty-seven million, eight hundred seventy-six thousand, five hundred eighty-five".