11426508885120 has 768 divisors, whose sum is σ = 44752627785600. Its totient is φ = 2465753923584.

The previous prime is 11426508885119. The next prime is 11426508885229. The reversal of 11426508885120 is 2158880562411.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523732452 + ... + 523754268.

Almost surely, 2^{11426508885120} is an apocalyptic number.

11426508885120 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 11426508885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376313892800).

11426508885120 is an abundant number, since it is smaller than the sum of its proper divisors (33326118900480).

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

11426508885120 is a wasteful number, since it uses less digits than its factorization.

11426508885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22165 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 51.

The spelling of 11426508885120 in words is "eleven trillion, four hundred twenty-six billion, five hundred eight million, eight hundred eighty-five thousand, one hundred twenty".