11028702260601 has 27 divisors (see below), whose sum is σ = 16002379949647. Its totient is φ = 7319371596000.

The previous prime is 11028702260593. The next prime is 11028702260629. The reversal of 11028702260601 is 10606220782011.

The square root of 11028702260601 is 3320949.

It is a perfect power (a square), and thus also a powerful number.

11028702260601 is a `hidden beast` number, since 1 + 1 + 0 + 28 + 7 + 0 + 2 + 26 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2239706799225 + 8788995461376 = 1496565^2 + 2964624^2 .

It is not a de Polignac number, because 11028702260601 - 2³ = 11028702260593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11028702260801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2321340976 + ... + 2321345726.

Almost surely, 2^{11028702260601} is an apocalyptic number.

11028702260601 is the 3320949-th square number.

11028702260601 is the 1660475-th centered octagonal number.

It is an amenable number.

11028702260601 is a deficient number, since it is larger than the sum of its proper divisors (4973677689046).

11028702260601 is an frugal number, since it uses more digits than its factorization.

11028702260601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 11028702260601 by its sum of digits (36), we get a square (397033281381636 = 19925694²).

The spelling of 11028702260601 in words is "eleven trillion, twenty-eight billion, seven hundred two million, two hundred sixty thousand, six hundred one".