1089121113600 has 960 divisors, whose sum is σ = 4009903349760. Its totient is φ = 258873753600.

The previous prime is 1089121113599. The next prime is 1089121113607. The reversal of 1089121113600 is 63111219801.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089121113607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2599334191 + ... + 2599334609.

It is an arithmetic number, because the mean of its divisors is an integer number (4176982656).

Almost surely, 2^{1089121113600} is an apocalyptic number.

1089121113600 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 1089121113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004951674880).

1089121113600 is an abundant number, since it is smaller than the sum of its proper divisors (2920782236160).

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

1089121113600 is a wasteful number, since it uses less digits than its factorization.

1089121113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 1089121113600 in words is "one trillion, eighty-nine billion, one hundred twenty-one million, one hundred thirteen thousand, six hundred".