6120090307800 has 2304 divisors, whose sum is σ = 26869708800000. Its totient is φ = 1272167285760.

The previous prime is 6120090307733. The next prime is 6120090307831. The reversal of 6120090307800 is 87030900216.

6120090307800 is a `hidden beast` number, since 61 + 200 + 90 + 307 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13940979981 + ... + 13940980419.

It is an arithmetic number, because the mean of its divisors is an integer number (11662200000).

Almost surely, 2^{6120090307800} is an apocalyptic number.

6120090307800 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 6120090307800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400000).

6120090307800 is an abundant number, since it is smaller than the sum of its proper divisors (20749618492200).

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

6120090307800 is a wasteful number, since it uses less digits than its factorization.

6120090307800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 6120090307800 in words is "six trillion, one hundred twenty billion, ninety million, three hundred seven thousand, eight hundred".