11126788491000 has 1024 divisors, whose sum is σ = 44402340003840. Its totient is φ = 2256595200000.

The previous prime is 11126788490897. The next prime is 11126788491047. The reversal of 11126788491000 is 19488762111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1277908647 + ... + 1277917353.

It is an arithmetic number, because the mean of its divisors is an integer number (43361660160).

Almost surely, 2^{11126788491000} is an apocalyptic number.

11126788491000 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 11126788491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22201170001920).

11126788491000 is an abundant number, since it is smaller than the sum of its proper divisors (33275551512840).

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

11126788491000 is a wasteful number, since it uses less digits than its factorization.

11126788491000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 11126788491000 in words is "eleven trillion, one hundred twenty-six billion, seven hundred eighty-eight million, four hundred ninety-one thousand".