11166053150520 has 192 divisors, whose sum is σ = 37462901149440. Its totient is φ = 2881362585600.

The previous prime is 11166053150513. The next prime is 11166053150599. The reversal of 11166053150520 is 2505135066111.

11166053150520 is a `hidden beast` number, since 1 + 1 + 16 + 60 + 53 + 15 + 0 + 520 = 666.

11166053150520 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228989982 + ... + 229038738.

It is an arithmetic number, because the mean of its divisors is an integer number (195119276820).

Almost surely, 2^{11166053150520} is an apocalyptic number.

11166053150520 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 11166053150520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18731450574720).

11166053150520 is an abundant number, since it is smaller than the sum of its proper divisors (26296847998920).

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

11166053150520 is a wasteful number, since it uses less digits than its factorization.

11166053150520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69326 (or 69319 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11166053150520 in words is "eleven trillion, one hundred sixty-six billion, fifty-three million, one hundred fifty thousand, five hundred twenty".