11630828160 has 720 divisors, whose sum is σ = 48525056190. Its totient is φ = 2566803456.

The previous prime is 11630828147. The next prime is 11630828161. The reversal of 11630828160 is 6182803611.

11630828160 is a `hidden beast` number, since 1 + 1 + 630 + 8 + 2 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9527321664 + 2103506496 = 97608^2 + 45864^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (11630828161) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 401063026 + ... + 401063054.

Almost surely, 2^11630828160 is an apocalyptic number.

11630828160 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 11630828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262528095).

11630828160 is an abundant number, since it is smaller than the sum of its proper divisors (36894228030).

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

11630828160 is an frugal number, since it uses more digits than its factorization.

11630828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11630828160 in words is "eleven billion, six hundred thirty million, eight hundred twenty-eight thousand, one hundred sixty".