11128979400000 has 1344 divisors, whose sum is σ = 46242820270080. Its totient is φ = 2294553600000.

The previous prime is 11128979399971. The next prime is 11128979400061. The reversal of 11128979400000 is 497982111.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6421799134 + ... + 6421800866.

It is an arithmetic number, because the mean of its divisors is an integer number (34406860320).

Almost surely, 2^{11128979400000} is an apocalyptic number.

11128979400000 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 11128979400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121410135040).

11128979400000 is an abundant number, since it is smaller than the sum of its proper divisors (35113840870080).

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

11128979400000 is a wasteful number, since it uses less digits than its factorization.

11128979400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11128979400000 in words is "eleven trillion, one hundred twenty-eight billion, nine hundred seventy-nine million, four hundred thousand".