6109042180800 has 2688 divisors, whose sum is σ = 25345545781248. Its totient is φ = 1271660544000.

The previous prime is 6109042180741. The next prime is 6109042180859. The reversal of 6109042180800 is 80812409016.

It is an interprime number because it is at equal distance from previous prime (6109042180741) and next prime (6109042180859).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31010366302 + ... + 31010366498.

It is an arithmetic number, because the mean of its divisors is an integer number (9429146496).

Almost surely, 2^{6109042180800} is an apocalyptic number.

6109042180800 is a gapful number since it is divisible by the number (60) 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 6109042180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672772890624).

6109042180800 is an abundant number, since it is smaller than the sum of its proper divisors (19236503600448).

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

6109042180800 is a wasteful number, since it uses less digits than its factorization.

6109042180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

Adding to 6109042180800 its reverse (80812409016), we get a palindrome (6189854589816).

The spelling of 6109042180800 in words is "six trillion, one hundred nine billion, forty-two million, one hundred eighty thousand, eight hundred".