11107420254000 has 2880 divisors, whose sum is σ = 50858984816640. Its totient is φ = 2238592204800.

The previous prime is 11107420253987. The next prime is 11107420254037. The reversal of 11107420254000 is 45202470111.

11107420254000 is a `hidden beast` number, since 1 + 110 + 7 + 4 + 2 + 0 + 2 + 540 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36180521847 + ... + 36180522153.

It is an arithmetic number, because the mean of its divisors is an integer number (17659369728).

Almost surely, 2^{11107420254000} is an apocalyptic number.

11107420254000 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 11107420254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25429492408320).

11107420254000 is an abundant number, since it is smaller than the sum of its proper divisors (39751564562640).

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

11107420254000 is a wasteful number, since it uses less digits than its factorization.

11107420254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11107420254000 in words is "eleven trillion, one hundred seven billion, four hundred twenty million, two hundred fifty-four thousand".