208273506400 has 144 divisors (see below), whose sum is σ = 529068262464. Its totient is φ = 79997665280.

The previous prime is 208273506391. The next prime is 208273506401. The reversal of 208273506400 is 4605372802.

208273506400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 208273506400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208273506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940544 + ... + 2045056.

It is an arithmetic number, because the mean of its divisors is an integer number (3674085156).

Almost surely, 2^208273506400 is an apocalyptic number.

208273506400 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 208273506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264534131232).

208273506400 is an abundant number, since it is smaller than the sum of its proper divisors (320794756064).

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

208273506400 is a wasteful number, since it uses less digits than its factorization.

208273506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104633 (or 104620 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 208273506400 in words is "two hundred eight billion, two hundred seventy-three million, five hundred six thousand, four hundred".