11187486720 has 384 divisors, whose sum is σ = 40362220080. Its totient is φ = 2972712960.

The previous prime is 11187486703. The next prime is 11187486727. The reversal of 11187486720 is 2768478111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11187486720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187486727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39812980 + ... + 39813260.

Almost surely, 2^11187486720 is an apocalyptic number.

11187486720 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 11187486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20181110040).

11187486720 is an abundant number, since it is smaller than the sum of its proper divisors (29174733360).

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

11187486720 is an frugal number, since it uses more digits than its factorization.

11187486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11187486720 in words is "eleven billion, one hundred eighty-seven million, four hundred eighty-six thousand, seven hundred twenty".