6103213038720 has 1536 divisors, whose sum is σ = 27437889024000. Its totient is φ = 1264038690816.

The previous prime is 6103213038719. The next prime is 6103213038763. The reversal of 6103213038720 is 278303123016.

6103213038720 is a `hidden beast` number, since 6 + 1 + 0 + 321 + 303 + 8 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475729266 + ... + 475742094.

It is an arithmetic number, because the mean of its divisors is an integer number (17863209000).

Almost surely, 2^{6103213038720} is an apocalyptic number.

6103213038720 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 6103213038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718944512000).

6103213038720 is an abundant number, since it is smaller than the sum of its proper divisors (21334675985280).

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

6103213038720 is a wasteful number, since it uses less digits than its factorization.

6103213038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912 (or 12888 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6103213038720 in words is "six trillion, one hundred three billion, two hundred thirteen million, thirty-eight thousand, seven hundred twenty".