1089096979200 has 432 divisors, whose sum is σ = 3622545225600. Its totient is φ = 288151142400.

The previous prime is 1089096979193. The next prime is 1089096979211. The reversal of 1089096979200 is 29796909801.

It is a happy number.

It is a super-2 number, since 2×1089096979200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 2599276591 + ... + 2599277009.

Almost surely, 2^{1089096979200} is an apocalyptic number.

1089096979200 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 1089096979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811272612800).

1089096979200 is an abundant number, since it is smaller than the sum of its proper divisors (2533448246400).

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

1089096979200 is a wasteful number, since it uses less digits than its factorization.

1089096979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The spelling of 1089096979200 in words is "one trillion, eighty-nine billion, ninety-six million, nine hundred seventy-nine thousand, two hundred".