11289013125210 has 80 divisors (see below), whose sum is σ = 30358737981000. Its totient is φ = 3010023068544.

The previous prime is 11289013125209. The next prime is 11289013125211. The reversal of 11289013125210 is 1252131098211.

11289013125210 is a `hidden beast` number, since 1 + 1 + 28 + 90 + 13 + 12 + 521 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11289013125209) and next prime (11289013125211).

It can be written as a sum of positive squares in 4 ways, for example, as 11074339362969 + 214673762241 = 3327813^2 + 463329^2 .

It is a super-2 number, since 2×11289013125210² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11289013125211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5562036 + ... + 7315344.

Almost surely, 2^{11289013125210} is an apocalyptic number.

11289013125210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11289013125210 is an abundant number, since it is smaller than the sum of its proper divisors (19069724855790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11289013125210 is a wasteful number, since it uses less digits than its factorization.

11289013125210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761277 (or 1761268 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11289013125210 in words is "eleven trillion, two hundred eighty-nine billion, thirteen million, one hundred twenty-five thousand, two hundred ten".