2103968352672 has 144 divisors (see below), whose sum is σ = 6017469756480. Its totient is φ = 697312512000.

The previous prime is 2103968352671. The next prime is 2103968352701. The reversal of 2103968352672 is 2762538693012.

2103968352672 is a `hidden beast` number, since 2 + 1 + 0 + 39 + 6 + 83 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2103968352671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35887479 + ... + 35946057.

It is an arithmetic number, because the mean of its divisors is an integer number (41787984420).

Almost surely, 2^{2103968352672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103968352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008734878240).

2103968352672 is an abundant number, since it is smaller than the sum of its proper divisors (3913501403808).

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

2103968352672 is a wasteful number, since it uses less digits than its factorization.

2103968352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59307 (or 59296 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2103968352672 in words is "two trillion, one hundred three billion, nine hundred sixty-eight million, three hundred fifty-two thousand, six hundred seventy-two".