11609827020 has 288 divisors, whose sum is σ = 39378830400. Its totient is φ = 2744801280.

The previous prime is 11609827003. The next prime is 11609827037. The reversal of 11609827020 is 2072890611.

11609827020 is a `hidden beast` number, since 1 + 1 + 609 + 8 + 27 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11609827003) and next prime (11609827037).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33265806 + ... + 33266154.

It is an arithmetic number, because the mean of its divisors is an integer number (136732050).

Almost surely, 2^11609827020 is an apocalyptic number.

11609827020 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 11609827020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689415200).

11609827020 is an abundant number, since it is smaller than the sum of its proper divisors (27769003380).

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

11609827020 is a wasteful number, since it uses less digits than its factorization.

11609827020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11609827020 in words is "eleven billion, six hundred nine million, eight hundred twenty-seven thousand, twenty".