11009152527840 has 384 divisors, whose sum is σ = 40805436510720. Its totient is φ = 2762620084224.

The previous prime is 11009152527817. The next prime is 11009152527881. The reversal of 11009152527840 is 4872525190011.

11009152527840 is a `hidden beast` number, since 1 + 10 + 0 + 9 + 1 + 525 + 2 + 78 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728737567 + ... + 728752673.

It is an arithmetic number, because the mean of its divisors is an integer number (106264157580).

Almost surely, 2^{11009152527840} is an apocalyptic number.

11009152527840 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 11009152527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402718255360).

11009152527840 is an abundant number, since it is smaller than the sum of its proper divisors (29796283982880).

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

11009152527840 is a wasteful number, since it uses less digits than its factorization.

11009152527840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25071 (or 25057 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11009152527840 in words is "eleven trillion, nine billion, one hundred fifty-two million, five hundred twenty-seven thousand, eight hundred forty".