206825564400 has 960 divisors, whose sum is σ = 851081527296. Its totient is φ = 41762304000.

The previous prime is 206825564347. The next prime is 206825564417. The reversal of 206825564400 is 4465528602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362216115 + ... + 362216685.

Almost surely, 2^206825564400 is an apocalyptic number.

206825564400 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 206825564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425540763648).

206825564400 is an abundant number, since it is smaller than the sum of its proper divisors (644255962896).

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

206825564400 is a wasteful number, since it uses less digits than its factorization.

206825564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 206825564400 in words is "two hundred six billion, eight hundred twenty-five million, five hundred sixty-four thousand, four hundred".