1089109984032 has 720 divisors, whose sum is σ = 3814366979808. Its totient is φ = 303878615040.

The previous prime is 1089109984007. The next prime is 1089109984073. The reversal of 1089109984032 is 2304899019801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1089109984032.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1114748728 + ... + 1114749704.

Almost surely, 2^{1089109984032} is an apocalyptic number.

1089109984032 is a gapful number since it is divisible by the number (12) 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 1089109984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907183489904).

1089109984032 is an abundant number, since it is smaller than the sum of its proper divisors (2725256995776).

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

1089109984032 is a wasteful number, since it uses less digits than its factorization.

1089109984032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1089109984032 in words is "one trillion, eighty-nine billion, one hundred nine million, nine hundred eighty-four thousand, thirty-two".