2105599860000 has 2880 divisors, whose sum is σ = 9995593386240. Its totient is φ = 424942848000.

The previous prime is 2105599859989. The next prime is 2105599860017. The reversal of 2105599860000 is 689955012.

2105599860000 is a `hidden beast` number, since 2 + 1 + 0 + 559 + 98 + 6 + 0 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 91547819989 + ... + 91547820011.

It is an arithmetic number, because the mean of its divisors is an integer number (3470692148).

Almost surely, 2^{2105599860000} is an apocalyptic number.

2105599860000 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 2105599860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997796693120).

2105599860000 is an abundant number, since it is smaller than the sum of its proper divisors (7889993526240).

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

2105599860000 is an frugal number, since it uses more digits than its factorization.

2105599860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2105599860000 in words is "two trillion, one hundred five billion, five hundred ninety-nine million, eight hundred sixty thousand".