206213487621960 has 512 divisors, whose sum is σ = 770723154432000. Its totient is φ = 42978568826880.

The previous prime is 206213487621937. The next prime is 206213487621979. The reversal of 206213487621960 is 69126784312602.

It is a self number, because there is not a number n which added to its sum of digits gives 206213487621960.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407532715 + ... + 408038405.

It is an arithmetic number, because the mean of its divisors is an integer number (1505318661000).

Almost surely, 2^{206213487621960} is an apocalyptic number.

206213487621960 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 206213487621960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385361577216000).

206213487621960 is an abundant number, since it is smaller than the sum of its proper divisors (564509666810040).

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

206213487621960 is a wasteful number, since it uses less digits than its factorization.

206213487621960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506181 (or 506177 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 206213487621960 in words is "two hundred six trillion, two hundred thirteen billion, four hundred eighty-seven million, six hundred twenty-one thousand, nine hundred sixty".