11131866720 has 384 divisors, whose sum is σ = 42149721600. Its totient is φ = 2727696384.

The previous prime is 11131866677. The next prime is 11131866721. The reversal of 11131866720 is 2766813111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131866721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21284379 + ... + 21284901.

It is an arithmetic number, because the mean of its divisors is an integer number (109764900).

Almost surely, 2^11131866720 is an apocalyptic number.

11131866720 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 11131866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074860800).

11131866720 is an abundant number, since it is smaller than the sum of its proper divisors (31017854880).

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

11131866720 is a wasteful number, since it uses less digits than its factorization.

11131866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11131866720 in words is "eleven billion, one hundred thirty-one million, eight hundred sixty-six thousand, seven hundred twenty".