2600505506200 has 192 divisors, whose sum is σ = 7099085629440. Its totient is φ = 867209172480.

The previous prime is 2600505506161. The next prime is 2600505506257. The reversal of 2600505506200 is 26055050062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195123937 + ... + 195137263.

It is an arithmetic number, because the mean of its divisors is an integer number (36974404320).

Almost surely, 2^{2600505506200} is an apocalyptic number.

2600505506200 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 2600505506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549542814720).

2600505506200 is an abundant number, since it is smaller than the sum of its proper divisors (4498580123240).

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

2600505506200 is a wasteful number, since it uses less digits than its factorization.

2600505506200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 2600505506200 in words is "two trillion, six hundred billion, five hundred five million, five hundred six thousand, two hundred".