11612828160 has 480 divisors, whose sum is σ = 42284436480. Its totient is φ = 2941747200.

The previous prime is 11612828119. The next prime is 11612828167. The reversal of 11612828160 is 6182821611.

11612828160 is a `hidden beast` number, since 1 + 1 + 612 + 8 + 28 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (11612828167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50710926 + ... + 50711154.

It is an arithmetic number, because the mean of its divisors is an integer number (88092576).

Almost surely, 2^11612828160 is an apocalyptic number.

11612828160 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 11612828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142218240).

11612828160 is an abundant number, since it is smaller than the sum of its proper divisors (30671608320).

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

11612828160 is a wasteful number, since it uses less digits than its factorization.

11612828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11612828160 in words is "eleven billion, six hundred twelve million, eight hundred twenty-eight thousand, one hundred sixty".