6293138187420 has 432 divisors, whose sum is σ = 23527290870720. Its totient is φ = 1352938180608.

The previous prime is 6293138187383. The next prime is 6293138187421. The reversal of 6293138187420 is 247818313926.

It is a happy number.

6293138187420 is a `hidden beast` number, since 6 + 2 + 9 + 3 + 1 + 38 + 187 + 420 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6293138187421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 245438961 + ... + 245464599.

It is an arithmetic number, because the mean of its divisors is an integer number (54461321460).

Almost surely, 2^{6293138187420} is an apocalyptic number.

6293138187420 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 6293138187420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763645435360).

6293138187420 is an abundant number, since it is smaller than the sum of its proper divisors (17234152683300).

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

6293138187420 is a wasteful number, since it uses less digits than its factorization.

6293138187420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27322 (or 27310 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6293138187420 in words is "six trillion, two hundred ninety-three billion, one hundred thirty-eight million, one hundred eighty-seven thousand, four hundred twenty".