11311488000 has 440 divisors, whose sum is σ = 42193975824. Its totient is φ = 3013632000.

The previous prime is 11311487977. The next prime is 11311488011. The reversal of 11311488000 is 88411311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367455 + ... + 10368545.

Almost surely, 2^11311488000 is an apocalyptic number.

11311488000 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 11311488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096987912).

11311488000 is an abundant number, since it is smaller than the sum of its proper divisors (30882487824).

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

11311488000 is an equidigital number, since it uses as much as digits as its factorization.

11311488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11311488000 its reverse (88411311), we get a palindrome (11399899311).

The spelling of 11311488000 in words is "eleven billion, three hundred eleven million, four hundred eighty-eight thousand".