11025121916952 has 512 divisors, whose sum is σ = 37594919577600. Its totient is φ = 2945844633600.

The previous prime is 11025121916927. The next prime is 11025121917013. The reversal of 11025121916952 is 25961912152011.

11025121916952 is a `hidden beast` number, since 1 + 10 + 2 + 512 + 19 + 1 + 69 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11025121916898 and 11025121916907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540622468 + ... + 540642860.

It is an arithmetic number, because the mean of its divisors is an integer number (73427577300).

Almost surely, 2^{11025121916952} is an apocalyptic number.

11025121916952 is a gapful number since it is divisible by the number (12) 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 11025121916952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797459788800).

11025121916952 is an abundant number, since it is smaller than the sum of its proper divisors (26569797660648).

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

11025121916952 is a wasteful number, since it uses less digits than its factorization.

11025121916952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21206 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 11025121916952 in words is "eleven trillion, twenty-five billion, one hundred twenty-one million, nine hundred sixteen thousand, nine hundred fifty-two".