11141663520 has 192 divisors, whose sum is σ = 37872261504. Its totient is φ = 2737029120.

The previous prime is 11141663513. The next prime is 11141663549. The reversal of 11141663520 is 2536614111.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3698815 + ... + 3701825.

It is an arithmetic number, because the mean of its divisors is an integer number (197251362).

Almost surely, 2^11141663520 is an apocalyptic number.

11141663520 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 11141663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18936130752).

11141663520 is an abundant number, since it is smaller than the sum of its proper divisors (26730597984).

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

11141663520 is a wasteful number, since it uses less digits than its factorization.

11141663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

It can be divided in two parts, 111416 and 63520, that added together give a triangular number (174936 = T₅₉₁).

The spelling of 11141663520 in words is "eleven billion, one hundred forty-one million, six hundred sixty-three thousand, five hundred twenty".