1089136008000 has 1344 divisors, whose sum is σ = 4269874632192. Its totient is φ = 263960985600.

The previous prime is 1089136007987. The next prime is 1089136008031. The reversal of 1089136008000 is 8006319801.

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

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 191 ways as a sum of consecutive naturals, for example, 6681815919 + ... + 6681816081.

Almost surely, 2^{1089136008000} is an apocalyptic number.

1089136008000 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 1089136008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134937316096).

1089136008000 is an abundant number, since it is smaller than the sum of its proper divisors (3180738624192).

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

1089136008000 is a wasteful number, since it uses less digits than its factorization.

1089136008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1089136008000 in words is "one trillion, eighty-nine billion, one hundred thirty-six million, eight thousand".