206055360000 has 800 divisors, whose sum is σ = 871317089280. Its totient is φ = 47084544000.

The previous prime is 206055359987. The next prime is 206055360029. The reversal of 206055360000 is 63550602.

206055360000 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 5 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×206055360000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60478297 + ... + 60481703.

Almost surely, 2^206055360000 is an apocalyptic number.

206055360000 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 206055360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435658544640).

206055360000 is an abundant number, since it is smaller than the sum of its proper divisors (665261729280).

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

206055360000 is an frugal number, since it uses more digits than its factorization.

206055360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 206055360000 in words is "two hundred six billion, fifty-five million, three hundred sixty thousand".