206421108264000 has 3360 divisors, whose sum is σ = 946262947728384. Its totient is φ = 43477867929600.

The previous prime is 206421108263983. The next prime is 206421108264013. The reversal of 206421108264000 is 462801124602.

206421108264000 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 2 + 1 + 1 + 0 + 8 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 60587350297 + ... + 60587353703.

Almost surely, 2^{206421108264000} is an apocalyptic number.

206421108264000 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 206421108264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473131473864192).

206421108264000 is an abundant number, since it is smaller than the sum of its proper divisors (739841839464384).

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

206421108264000 is a wasteful number, since it uses less digits than its factorization.

206421108264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 206421108264000 its reverse (462801124602), we get a palindrome (206883909388602).

The spelling of 206421108264000 in words is "two hundred six trillion, four hundred twenty-one billion, one hundred eight million, two hundred sixty-four thousand".