109599961000000 has 735 divisors, whose sum is σ = 297195124310747. Its totient is φ = 40100457600000.

The previous prime is 109599960999989. The next prime is 109599961000003. The reversal of 109599961000000 is 169995901.

The square root of 109599961000000 is 10469000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 92876703209536 + 16723257790464 = 9637256^2 + 4089408^2 .

It is a super-3 number, since 3×109599961000000³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 109599960999899 and 109599960999908.

It is not an unprimeable number, because it can be changed into a prime (109599961000003) 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, 3779308999986 + ... + 3779309000014.

Almost surely, 2^{109599961000000} is an apocalyptic number.

109599961000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109599961000000 is the 10469000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109599961000000

109599961000000 is an abundant number, since it is smaller than the sum of its proper divisors (187595163310747).

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

109599961000000 is an frugal number, since it uses more digits than its factorization.

109599961000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 49.

The spelling of 109599961000000 in words is "one hundred nine trillion, five hundred ninety-nine billion, nine hundred sixty-one million", and thus it is an aban number.