206863258030080 has 1664 divisors, whose sum is σ = 748081068134400. Its totient is φ = 48552726233088.

The previous prime is 206863258030073. The next prime is 206863258030097. The reversal of 206863258030080 is 80030852368602.

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, 269002935936 + ... + 269002936704.

It is an arithmetic number, because the mean of its divisors is an integer number (449567949600).

Almost surely, 2^{206863258030080} is an apocalyptic number.

206863258030080 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 206863258030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374040534067200).

206863258030080 is an abundant number, since it is smaller than the sum of its proper divisors (541217810104320).

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

206863258030080 is a wasteful number, since it uses less digits than its factorization.

206863258030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 206863258030080 in words is "two hundred six trillion, eight hundred sixty-three billion, two hundred fifty-eight million, thirty thousand, eighty".