11025131566140 has 288 divisors, whose sum is σ = 34135612056000. Its totient is φ = 2879571824640.

The previous prime is 11025131566123. The next prime is 11025131566159. The reversal of 11025131566140 is 4166513152011.

11025131566140 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 5 + 1 + 31 + 5 + 6 + 614 + 0 = 666.

11025131566140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11025131566095 and 11025131566104.

It is a congruent number.

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, 3651913551 + ... + 3651916569.

It is an arithmetic number, because the mean of its divisors is an integer number (118526430750).

Almost surely, 2^{11025131566140} is an apocalyptic number.

11025131566140 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 11025131566140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067806028000).

11025131566140 is an abundant number, since it is smaller than the sum of its proper divisors (23110480489860).

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

11025131566140 is a wasteful number, since it uses less digits than its factorization.

11025131566140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11025131566140 in words is "eleven trillion, twenty-five billion, one hundred thirty-one million, five hundred sixty-six thousand, one hundred forty".