11811318480 has 640 divisors, whose sum is σ = 47021990400. Its totient is φ = 2699329536.

The previous prime is 11811318469. The next prime is 11811318481. The reversal of 11811318480 is 8481311811.

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 (11811318481) 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 127 ways as a sum of consecutive naturals, for example, 52032127 + ... + 52032353.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 2^11811318480 is an apocalyptic number.

11811318480 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 11811318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

11811318480 is an abundant number, since it is smaller than the sum of its proper divisors (35210671920).

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

11811318480 is a wasteful number, since it uses less digits than its factorization.

11811318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 11811318480 in words is "eleven billion, eight hundred eleven million, three hundred eighteen thousand, four hundred eighty".