11187022318080 has 1920 divisors, whose sum is σ = 46344873738240. Its totient is φ = 2285273088000.

The previous prime is 11187022318079. The next prime is 11187022318081. The reversal of 11187022318080 is 8081322078111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11187022318079) and next prime (11187022318081).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11187022318081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9087751065 + ... + 9087752295.

It is an arithmetic number, because the mean of its divisors is an integer number (24137955072).

Almost surely, 2^{11187022318080} is an apocalyptic number.

11187022318080 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 11187022318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23172436869120).

11187022318080 is an abundant number, since it is smaller than the sum of its proper divisors (35157851420160).

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

11187022318080 is a wasteful number, since it uses less digits than its factorization.

11187022318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

The spelling of 11187022318080 in words is "eleven trillion, one hundred eighty-seven billion, twenty-two million, three hundred eighteen thousand, eighty".