11187348480 has 704 divisors, whose sum is σ = 49615349760. Its totient is φ = 2322432000.

The previous prime is 11187348467. The next prime is 11187348481. The reversal of 11187348480 is 8484378111.

11187348480 is a `hidden beast` number, since 1 + 11 + 87 + 3 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is not an unprimeable number, because it can be changed into a prime (11187348481) 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, 10643955 + ... + 10645005.

Almost surely, 2^11187348480 is an apocalyptic number.

11187348480 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 11187348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807674880).

11187348480 is an abundant number, since it is smaller than the sum of its proper divisors (38428001280).

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

11187348480 is a wasteful number, since it uses less digits than its factorization.

11187348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11187348480 in words is "eleven billion, one hundred eighty-seven million, three hundred forty-eight thousand, four hundred eighty".