6103837900800 has 816 divisors, whose sum is σ = 23154394690560. Its totient is φ = 1574830080000.

The previous prime is 6103837900753. The next prime is 6103837900813. The reversal of 6103837900800 is 80097383016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371338575 + ... + 1371343025.

Almost surely, 2^{6103837900800} is an apocalyptic number.

6103837900800 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 6103837900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577197345280).

6103837900800 is an abundant number, since it is smaller than the sum of its proper divisors (17050556789760).

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

6103837900800 is an equidigital number, since it uses as much as digits as its factorization.

6103837900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 6103837900800 in words is "six trillion, one hundred three billion, eight hundred thirty-seven million, nine hundred thousand, eight hundred".