11003928625089 has 81 divisors (see below), whose sum is σ = 16764471506601. Its totient is φ = 6955009850880.

The previous prime is 11003928625069. The next prime is 11003928625103. The reversal of 11003928625089 is 98052682930011.

The square root of 11003928625089 is 3317217.

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

11003928625089 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 3 + 9 + 2 + 8 + 625 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30212349489 + 10973716275600 = 173817^2 + 3312660^2 .

It is not a de Polignac number, because 11003928625089 - 2²⁵ = 11003895070657 is a prime.

It is a super-3 number, since 3×11003928625089³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11003928625069) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16350562257 + ... + 16350562929.

Almost surely, 2^{11003928625089} is an apocalyptic number.

11003928625089 is the 3317217-th square number.

11003928625089 is the 1658609-th centered octagonal number.

It is an amenable number.

11003928625089 is a deficient number, since it is larger than the sum of its proper divisors (5760542881512).

11003928625089 is an frugal number, since it uses more digits than its factorization.

11003928625089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11003928625089 in words is "eleven trillion, three billion, nine hundred twenty-eight million, six hundred twenty-five thousand, eighty-nine".