2103797072160 has 1536 divisors, whose sum is σ = 8998262784000. Its totient is φ = 454356283392.

The previous prime is 2103797072141. The next prime is 2103797072161. The reversal of 2103797072160 is 612707973012.

2103797072160 is a `hidden beast` number, since 210 + 379 + 7 + 0 + 7 + 2 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2103797072161) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6028071666 + ... + 6028072014.

It is an arithmetic number, because the mean of its divisors is an integer number (5858244000).

Almost surely, 2^{2103797072160} is an apocalyptic number.

2103797072160 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 2103797072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499131392000).

2103797072160 is an abundant number, since it is smaller than the sum of its proper divisors (6894465711840).

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

2103797072160 is a wasteful number, since it uses less digits than its factorization.

2103797072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 2103797072160 in words is "two trillion, one hundred three billion, seven hundred ninety-seven million, seventy-two thousand, one hundred sixty".