1089865244160 has 2880 divisors, whose sum is σ = 5239593216000. Its totient is φ = 206231961600.

The previous prime is 1089865244159. The next prime is 1089865244173. The reversal of 1089865244160 is 614425689801.

1089865244160 is a `hidden beast` number, since 1 + 0 + 8 + 98 + 6 + 52 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×1089865244160³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1089865244097 and 1089865244106.

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 287 ways as a sum of consecutive naturals, for example, 7314531766 + ... + 7314531914.

It is an arithmetic number, because the mean of its divisors is an integer number (1819303200).

Almost surely, 2^{1089865244160} is an apocalyptic number.

1089865244160 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 1089865244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619796608000).

1089865244160 is an abundant number, since it is smaller than the sum of its proper divisors (4149727971840).

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

1089865244160 is a wasteful number, since it uses less digits than its factorization.

1089865244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 1089865 and 244160, that added together give a square (1334025 = 1155²).

The spelling of 1089865244160 in words is "one trillion, eighty-nine billion, eight hundred sixty-five million, two hundred forty-four thousand, one hundred sixty".