2059098643200 has 648 divisors, whose sum is σ = 7599021478720. Its totient is φ = 489568665600.

The previous prime is 2059098643159. The next prime is 2059098643201. The reversal of 2059098643200 is 23468909502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2059098643200.

It is not an unprimeable number, because it can be changed into a prime (2059098643201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105417435 + ... + 105436965.

Almost surely, 2^{2059098643200} is an apocalyptic number.

2059098643200 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 2059098643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799510739360).

2059098643200 is an abundant number, since it is smaller than the sum of its proper divisors (5539922835520).

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

2059098643200 is a wasteful number, since it uses less digits than its factorization.

2059098643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19613 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2059098643200 in words is "two trillion, fifty-nine billion, ninety-eight million, six hundred forty-three thousand, two hundred".