11125820999104 has 224 divisors, whose sum is σ = 26328048537600. Its totient is φ = 4564644986880.

The previous prime is 11125820999087. The next prime is 11125820999113. The reversal of 11125820999104 is 40199902852111.

11125820999104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479777142 + ... + 479800330.

Almost surely, 2^{11125820999104} is an apocalyptic number.

11125820999104 is a gapful number since it is divisible by the number (14) 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 11125820999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164024268800).

11125820999104 is an abundant number, since it is smaller than the sum of its proper divisors (15202227538496).

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

11125820999104 is a wasteful number, since it uses less digits than its factorization.

11125820999104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23611 (or 23601 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 52.

The spelling of 11125820999104 in words is "eleven trillion, one hundred twenty-five billion, eight hundred twenty million, nine hundred ninety-nine thousand, one hundred four".