206399681280 has 576 divisors, whose sum is σ = 830321856000. Its totient is φ = 48130080768.

The previous prime is 206399681269. The next prime is 206399681317. The reversal of 206399681280 is 82186993602.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8524231 + ... + 8548409.

It is an arithmetic number, because the mean of its divisors is an integer number (1441531000).

Almost surely, 2^206399681280 is an apocalyptic number.

206399681280 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 206399681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415160928000).

206399681280 is an abundant number, since it is smaller than the sum of its proper divisors (623922174720).

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

206399681280 is a wasteful number, since it uses less digits than its factorization.

206399681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24241 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 206399681280 in words is "two hundred six billion, three hundred ninety-nine million, six hundred eighty-one thousand, two hundred eighty".