11142668520 has 192 divisors, whose sum is σ = 37465459200. Its totient is φ = 2869102080.

The previous prime is 11142668519. The next prime is 11142668531. The reversal of 11142668520 is 2586624111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6907234 + ... + 6908846.

It is an arithmetic number, because the mean of its divisors is an integer number (195132600).

Almost surely, 2^11142668520 is an apocalyptic number.

11142668520 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 11142668520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732729600).

11142668520 is an abundant number, since it is smaller than the sum of its proper divisors (26322790680).

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

11142668520 is a wasteful number, since it uses less digits than its factorization.

11142668520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11142668520 in words is "eleven billion, one hundred forty-two million, six hundred sixty-eight thousand, five hundred twenty".