1089200286720 has 3520 divisors, whose sum is σ = 5326261248000. Its totient is φ = 210691031040.

The previous prime is 1089200286703. The next prime is 1089200286763. The reversal of 1089200286720 is 276820029801.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 35135493105 + ... + 35135493135.

It is an arithmetic number, because the mean of its divisors is an integer number (1513142400).

Almost surely, 2^{1089200286720} is an apocalyptic number.

1089200286720 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 1089200286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663130624000).

1089200286720 is an abundant number, since it is smaller than the sum of its proper divisors (4237060961280).

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

1089200286720 is a wasteful number, since it uses less digits than its factorization.

1089200286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1089200286720 in words is "one trillion, eighty-nine billion, two hundred million, two hundred eighty-six thousand, seven hundred twenty".