109018728000000 has 2520 divisors, whose sum is σ = 492899307136236. Its totient is φ = 22992076800000.

The previous prime is 109018727999999. The next prime is 109018728000059. The reversal of 109018728000000 is 827810901.

It can be written as a sum of positive squares in 14 ways, for example, as 107661708032256 + 1357019967744 = 10376016^2 + 1164912^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 45863998812 + ... + 45864001188.

Almost surely, 2^{109018728000000} is an apocalyptic number.

109018728000000 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 109018728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246449653568118).

109018728000000 is an abundant number, since it is smaller than the sum of its proper divisors (383880579136236).

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

109018728000000 is an frugal number, since it uses more digits than its factorization.

109018728000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 109018728000000 in words is "one hundred nine trillion, eighteen billion, seven hundred twenty-eight million", and thus it is an aban number.