11142482520 has 256 divisors, whose sum is σ = 37507276800. Its totient is φ = 2629509120.

The previous prime is 11142482513. The next prime is 11142482521. The reversal of 11142482520 is 2528424111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142482521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5463661 + ... + 5465699.

It is an arithmetic number, because the mean of its divisors is an integer number (146512800).

Almost surely, 2^11142482520 is an apocalyptic number.

11142482520 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 11142482520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753638400).

11142482520 is an abundant number, since it is smaller than the sum of its proper divisors (26364794280).

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

11142482520 is a wasteful number, since it uses less digits than its factorization.

11142482520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 11142482520 in words is "eleven billion, one hundred forty-two million, four hundred eighty-two thousand, five hundred twenty".