11005260504 has 64 divisors (see below), whose sum is σ = 31669881600. Its totient is φ = 3121732224.

The previous prime is 11005260491. The next prime is 11005260509. The reversal of 11005260504 is 40506250011.

It is a super-2 number, since 2×11005260504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005260509) 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, 212287 + ... + 258990.

It is an arithmetic number, because the mean of its divisors is an integer number (494841900).

Almost surely, 2^11005260504 is an apocalyptic number.

11005260504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11005260504 is an abundant number, since it is smaller than the sum of its proper divisors (20664621096).

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

11005260504 is a wasteful number, since it uses less digits than its factorization.

11005260504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471432 (or 471428 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11005260504 in words is "eleven billion, five million, two hundred sixty thousand, five hundred four".