11349020160 has 400 divisors, whose sum is σ = 40996929600. Its totient is φ = 3000582144.

The previous prime is 11349020147. The next prime is 11349020201. The reversal of 11349020160 is 6102094311.

11349020160 is a `hidden beast` number, since 1 + 13 + 490 + 2 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47485321 + ... + 47485559.

It is an arithmetic number, because the mean of its divisors is an integer number (102492324).

Almost surely, 2^11349020160 is an apocalyptic number.

11349020160 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 11349020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498464800).

11349020160 is an abundant number, since it is smaller than the sum of its proper divisors (29647909440).

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

11349020160 is an equidigital number, since it uses as much as digits as its factorization.

11349020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11349020160 in words is "eleven billion, three hundred forty-nine million, twenty thousand, one hundred sixty".