109558089000000 has 735 divisors, whose sum is σ = 406299779979841. Its totient is φ = 29190369600000.

The previous prime is 109558088999981. The next prime is 109558089000007. The reversal of 109558089000000 is 980855901.

The square root of 109558089000000 is 10467000.

It is a perfect power (a square), and thus also a powerful number.

109558089000000 is a `hidden beast` number, since 1 + 0 + 9 + 558 + 0 + 8 + 90 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 95983403540544 + 13574685459456 = 9797112^2 + 3684384^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109558089000000.

It is not an unprimeable number, because it can be changed into a prime (109558089000007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 94202999419 + ... + 94203000581.

Almost surely, 2^{109558089000000} is an apocalyptic number.

109558089000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109558089000000 is the 10467000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109558089000000

109558089000000 is an abundant number, since it is smaller than the sum of its proper divisors (296741690979841).

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

109558089000000 is an frugal number, since it uses more digits than its factorization.

109558089000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

109558089000000 divided by its product of nonzero digits (129600) gives a square (845355625 = 29075²).

The spelling of 109558089000000 in words is "one hundred nine trillion, five hundred fifty-eight billion, eighty-nine million", and thus it is an aban number.