2105701168800 has 288 divisors, whose sum is σ = 7124137900992. Its totient is φ = 539759738880.

The previous prime is 2105701168783. The next prime is 2105701168903. The reversal of 2105701168800 is 88611075012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7227552 + ... + 7513248.

It is an arithmetic number, because the mean of its divisors is an integer number (24736589934).

Almost surely, 2^{2105701168800} is an apocalyptic number.

2105701168800 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 2105701168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562068950496).

2105701168800 is an abundant number, since it is smaller than the sum of its proper divisors (5018436732192).

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

2105701168800 is a wasteful number, since it uses less digits than its factorization.

2105701168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285840 (or 285827 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 2105701168800 in words is "two trillion, one hundred five billion, seven hundred one million, one hundred sixty-eight thousand, eight hundred".