2103137049600 has 1056 divisors, whose sum is σ = 8085132518400. Its totient is φ = 535176806400.

The previous prime is 2103137049599. The next prime is 2103137049619. The reversal of 2103137049600 is 69407313012.

2103137049600 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 1 + 3 + 7 + 0 + 49 + 600 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1331941611 + ... + 1331943189.

Almost surely, 2^{2103137049600} is an apocalyptic number.

2103137049600 is a gapful number since it is divisible by the number (20) 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 2103137049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042566259200).

2103137049600 is an abundant number, since it is smaller than the sum of its proper divisors (5981995468800).

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

2103137049600 is a wasteful number, since it uses less digits than its factorization.

2103137049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 2103137049600 in words is "two trillion, one hundred three billion, one hundred thirty-seven million, forty-nine thousand, six hundred".