11836028880 has 320 divisors, whose sum is σ = 44079678720. Its totient is φ = 2901878784.

The previous prime is 11836028861. The next prime is 11836028903. The reversal of 11836028880 is 8882063811.

11836028880 is a `hidden beast` number, since 1 + 1 + 8 + 360 + 288 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8619874 + ... + 8621246.

It is an arithmetic number, because the mean of its divisors is an integer number (137748996).

Almost surely, 2^11836028880 is an apocalyptic number.

11836028880 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 11836028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039839360).

11836028880 is an abundant number, since it is smaller than the sum of its proper divisors (32243649840).

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

11836028880 is a wasteful number, since it uses less digits than its factorization.

11836028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 11836028880 in words is "eleven billion, eight hundred thirty-six million, twenty-eight thousand, eight hundred eighty".