11145025520 has 80 divisors (see below), whose sum is σ = 26544967680. Its totient is φ = 4349382912.

The previous prime is 11145025513. The next prime is 11145025657. The reversal of 11145025520 is 2552054111.

11145025520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11145025520³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11145025520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4976561 + ... + 4978799.

It is an arithmetic number, because the mean of its divisors is an integer number (331812096).

Almost surely, 2^11145025520 is an apocalyptic number.

11145025520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272483840).

11145025520 is an abundant number, since it is smaller than the sum of its proper divisors (15399942160).

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

11145025520 is a wasteful number, since it uses less digits than its factorization.

11145025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 11145025520 its reverse (2552054111), we get a palindrome (13697079631).

The spelling of 11145025520 in words is "eleven billion, one hundred forty-five million, twenty-five thousand, five hundred twenty".