206775070080 has 128 divisors (see below), whose sum is σ = 674423608320. Its totient is φ = 53857671168.

The previous prime is 206775070079. The next prime is 206775070121. The reversal of 206775070080 is 80070577602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×206775070080³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169712 + ... + 1334831.

It is an arithmetic number, because the mean of its divisors is an integer number (5268934440).

Almost surely, 2^206775070080 is an apocalyptic number.

206775070080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206775070080 is an abundant number, since it is smaller than the sum of its proper divisors (467648538240).

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

206775070080 is a wasteful number, since it uses less digits than its factorization.

206775070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504608 (or 2504596 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 206775070080 in words is "two hundred six billion, seven hundred seventy-five million, seventy thousand, eighty".